Home / 10,294.29-15,309-9,966.24

Finding the Fourth Proportional to 10,294.29, 15,309 and 9,966.24

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Solution

The fourth proportional to 10,294.29, 15,309 and 9,966.24 is: 14,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.29 : 15,309 = 9,966.24 : x
  2. Step 2: Convert to fraction form
    10,294.29/15,309 = 9,966.24/x
  3. Step 3: Cross multiply
    10,294.29x = 15,309 × 9,966.24
  4. Step 4: Simplify right side
    10,294.29x = 152,573,168.16
  5. Step 5: Solve for x
    x = 152,573,168.16/10,294.29
  6. Step 6: Final answer
    x = 14,821.15

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.