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Finding the Fourth Proportional to 29,138.50, 40,211.61 and 15,890.50

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Solution

The fourth proportional to 29,138.50, 40,211.61 and 15,890.50 is: 21,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.50 : 40,211.61 = 15,890.50 : x
  2. Step 2: Convert to fraction form
    29,138.50/40,211.61 = 15,890.50/x
  3. Step 3: Cross multiply
    29,138.50x = 40,211.61 × 15,890.50
  4. Step 4: Simplify right side
    29,138.50x = 638,982,588.71
  5. Step 5: Solve for x
    x = 638,982,588.71/29,138.50
  6. Step 6: Final answer
    x = 21,929.15

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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.