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Finding the Fourth Proportional to 9,666.38, 13,332.12 and 5,890.16

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Solution

The fourth proportional to 9,666.38, 13,332.12 and 5,890.16 is: 8,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.38 : 13,332.12 = 5,890.16 : x
  2. Step 2: Convert to fraction form
    9,666.38/13,332.12 = 5,890.16/x
  3. Step 3: Cross multiply
    9,666.38x = 13,332.12 × 5,890.16
  4. Step 4: Simplify right side
    9,666.38x = 78,528,319.94
  5. Step 5: Solve for x
    x = 78,528,319.94/9,666.38
  6. Step 6: Final answer
    x = 8,123.86

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Half scale
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Double scale
Find fourth proportional to 9,667.38, 13,333.50 and 5,891.16
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.