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Finding the Fourth Proportional to 21,384.54, 32,078.52 and 7,338.92

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Solution

The fourth proportional to 21,384.54, 32,078.52 and 7,338.92 is: 11,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.54 : 32,078.52 = 7,338.92 : x
  2. Step 2: Convert to fraction form
    21,384.54/32,078.52 = 7,338.92/x
  3. Step 3: Cross multiply
    21,384.54x = 32,078.52 × 7,338.92
  4. Step 4: Simplify right side
    21,384.54x = 235,421,531.61
  5. Step 5: Solve for x
    x = 235,421,531.61/21,384.54
  6. Step 6: Final answer
    x = 11,008.96

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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.