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Finding the Fourth Proportional to 10,515.66, 15,725.53 and 7,849.14

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Solution

The fourth proportional to 10,515.66, 15,725.53 and 7,849.14 is: 11,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.66 : 15,725.53 = 7,849.14 : x
  2. Step 2: Convert to fraction form
    10,515.66/15,725.53 = 7,849.14/x
  3. Step 3: Cross multiply
    10,515.66x = 15,725.53 × 7,849.14
  4. Step 4: Simplify right side
    10,515.66x = 123,431,925.84
  5. Step 5: Solve for x
    x = 123,431,925.84/10,515.66
  6. Step 6: Final answer
    x = 11,737.91

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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.