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Finding the Fourth Proportional to 10,691, 14,757.70 and 9,569.96

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Solution

The fourth proportional to 10,691, 14,757.70 and 9,569.96 is: 13,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691 : 14,757.70 = 9,569.96 : x
  2. Step 2: Convert to fraction form
    10,691/14,757.70 = 9,569.96/x
  3. Step 3: Cross multiply
    10,691x = 14,757.70 × 9,569.96
  4. Step 4: Simplify right side
    10,691x = 141,230,598.69
  5. Step 5: Solve for x
    x = 141,230,598.69/10,691
  6. Step 6: Final answer
    x = 13,210.23

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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.