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Finding the Fourth Proportional to 21,342.52, 32,014.14 and 7,491.88

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Solution

The fourth proportional to 21,342.52, 32,014.14 and 7,491.88 is: 11,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.52 : 32,014.14 = 7,491.88 : x
  2. Step 2: Convert to fraction form
    21,342.52/32,014.14 = 7,491.88/x
  3. Step 3: Cross multiply
    21,342.52x = 32,014.14 × 7,491.88
  4. Step 4: Simplify right side
    21,342.52x = 239,846,095.18
  5. Step 5: Solve for x
    x = 239,846,095.18/21,342.52
  6. Step 6: Final answer
    x = 11,237.95

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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.