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Finding the Fourth Proportional to 21,525.62, 32,282.15 and 8,374.86

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Solution

The fourth proportional to 21,525.62, 32,282.15 and 8,374.86 is: 12,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.62 : 32,282.15 = 8,374.86 : x
  2. Step 2: Convert to fraction form
    21,525.62/32,282.15 = 8,374.86/x
  3. Step 3: Cross multiply
    21,525.62x = 32,282.15 × 8,374.86
  4. Step 4: Simplify right side
    21,525.62x = 270,358,444.87
  5. Step 5: Solve for x
    x = 270,358,444.87/21,525.62
  6. Step 6: Final answer
    x = 12,559.85

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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.