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Finding the Fourth Proportional to 21,285, 31,885.92 and 16,330.37

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Solution

The fourth proportional to 21,285, 31,885.92 and 16,330.37 is: 24,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 31,885.92 = 16,330.37 : x
  2. Step 2: Convert to fraction form
    21,285/31,885.92 = 16,330.37/x
  3. Step 3: Cross multiply
    21,285x = 31,885.92 × 16,330.37
  4. Step 4: Simplify right side
    21,285x = 520,708,711.96
  5. Step 5: Solve for x
    x = 520,708,711.96/21,285
  6. Step 6: Final answer
    x = 24,463.65

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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.