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Finding the Fourth Proportional to 10,502.88, 15,754.62 and 3,927.81

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Solution

The fourth proportional to 10,502.88, 15,754.62 and 3,927.81 is: 5,891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.88 : 15,754.62 = 3,927.81 : x
  2. Step 2: Convert to fraction form
    10,502.88/15,754.62 = 3,927.81/x
  3. Step 3: Cross multiply
    10,502.88x = 15,754.62 × 3,927.81
  4. Step 4: Simplify right side
    10,502.88x = 61,881,153.98
  5. Step 5: Solve for x
    x = 61,881,153.98/10,502.88
  6. Step 6: Final answer
    x = 5,891.83

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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.