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Finding the Fourth Proportional to 9,798.16, 13,516.86 and 9,421.12

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Solution

The fourth proportional to 9,798.16, 13,516.86 and 9,421.12 is: 12,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.16 : 13,516.86 = 9,421.12 : x
  2. Step 2: Convert to fraction form
    9,798.16/13,516.86 = 9,421.12/x
  3. Step 3: Cross multiply
    9,798.16x = 13,516.86 × 9,421.12
  4. Step 4: Simplify right side
    9,798.16x = 127,343,960.08
  5. Step 5: Solve for x
    x = 127,343,960.08/9,798.16
  6. Step 6: Final answer
    x = 12,996.72

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Half scale
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Double scale
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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.