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Finding the Fourth Proportional to 10,177.98, 15,238.17 and 6,471

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Solution

The fourth proportional to 10,177.98, 15,238.17 and 6,471 is: 9,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.98 : 15,238.17 = 6,471 : x
  2. Step 2: Convert to fraction form
    10,177.98/15,238.17 = 6,471/x
  3. Step 3: Cross multiply
    10,177.98x = 15,238.17 × 6,471
  4. Step 4: Simplify right side
    10,177.98x = 98,606,198.07
  5. Step 5: Solve for x
    x = 98,606,198.07/10,177.98
  6. Step 6: Final answer
    x = 9,688.19

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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.