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Finding the Fourth Proportional to 21,909.60, 32,864.40 and 12,578.40

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Solution

The fourth proportional to 21,909.60, 32,864.40 and 12,578.40 is: 18,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.60 : 32,864.40 = 12,578.40 : x
  2. Step 2: Convert to fraction form
    21,909.60/32,864.40 = 12,578.40/x
  3. Step 3: Cross multiply
    21,909.60x = 32,864.40 × 12,578.40
  4. Step 4: Simplify right side
    21,909.60x = 413,381,568.96
  5. Step 5: Solve for x
    x = 413,381,568.96/21,909.60
  6. Step 6: Final answer
    x = 18,867.60

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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.