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Finding the Fourth Proportional to 21,615.76, 32,432.10 and 8,465.86

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Solution

The fourth proportional to 21,615.76, 32,432.10 and 8,465.86 is: 12,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.76 : 32,432.10 = 8,465.86 : x
  2. Step 2: Convert to fraction form
    21,615.76/32,432.10 = 8,465.86/x
  3. Step 3: Cross multiply
    21,615.76x = 32,432.10 × 8,465.86
  4. Step 4: Simplify right side
    21,615.76x = 274,565,618.11
  5. Step 5: Solve for x
    x = 274,565,618.11/21,615.76
  6. Step 6: Final answer
    x = 12,702.10

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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.