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Finding the Fourth Proportional to 9,668.38, 13,337.84 and 6,835.78

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Solution

The fourth proportional to 9,668.38, 13,337.84 and 6,835.78 is: 9,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.38 : 13,337.84 = 6,835.78 : x
  2. Step 2: Convert to fraction form
    9,668.38/13,337.84 = 6,835.78/x
  3. Step 3: Cross multiply
    9,668.38x = 13,337.84 × 6,835.78
  4. Step 4: Simplify right side
    9,668.38x = 91,174,539.92
  5. Step 5: Solve for x
    x = 91,174,539.92/9,668.38
  6. Step 6: Final answer
    x = 9,430.18

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Half scale
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Double scale
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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.