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Finding the Fourth Proportional to 10,260, 15,371.10 and 9,153.09

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Solution

The fourth proportional to 10,260, 15,371.10 and 9,153.09 is: 13,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260 : 15,371.10 = 9,153.09 : x
  2. Step 2: Convert to fraction form
    10,260/15,371.10 = 9,153.09/x
  3. Step 3: Cross multiply
    10,260x = 15,371.10 × 9,153.09
  4. Step 4: Simplify right side
    10,260x = 140,693,061.70
  5. Step 5: Solve for x
    x = 140,693,061.70/10,260
  6. Step 6: Final answer
    x = 13,712.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.