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Finding the Fourth Proportional to 29,118, 40,182.87 and 15,870

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Solution

The fourth proportional to 29,118, 40,182.87 and 15,870 is: 21,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,118 : 40,182.87 = 15,870 : x
  2. Step 2: Convert to fraction form
    29,118/40,182.87 = 15,870/x
  3. Step 3: Cross multiply
    29,118x = 40,182.87 × 15,870
  4. Step 4: Simplify right side
    29,118x = 637,702,146.90
  5. Step 5: Solve for x
    x = 637,702,146.90/29,118
  6. Step 6: Final answer
    x = 21,900.62

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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.