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Finding the Fourth Proportional to 21,898.40, 32,863.80 and 14,500.40

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Solution

The fourth proportional to 21,898.40, 32,863.80 and 14,500.40 is: 21,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.40 : 32,863.80 = 14,500.40 : x
  2. Step 2: Convert to fraction form
    21,898.40/32,863.80 = 14,500.40/x
  3. Step 3: Cross multiply
    21,898.40x = 32,863.80 × 14,500.40
  4. Step 4: Simplify right side
    21,898.40x = 476,538,245.52
  5. Step 5: Solve for x
    x = 476,538,245.52/21,898.40
  6. Step 6: Final answer
    x = 21,761.33

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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.