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Finding the Fourth Proportional to 21,611.74, 32,432.19 and 8,462.47

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Solution

The fourth proportional to 21,611.74, 32,432.19 and 8,462.47 is: 12,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.74 : 32,432.19 = 8,462.47 : x
  2. Step 2: Convert to fraction form
    21,611.74/32,432.19 = 8,462.47/x
  3. Step 3: Cross multiply
    21,611.74x = 32,432.19 × 8,462.47
  4. Step 4: Simplify right side
    21,611.74x = 274,456,434.91
  5. Step 5: Solve for x
    x = 274,456,434.91/21,611.74
  6. Step 6: Final answer
    x = 12,699.41

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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.