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Finding the Fourth Proportional to 21,877.39, 32,814.49 and 8,547.88

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Solution

The fourth proportional to 21,877.39, 32,814.49 and 8,547.88 is: 12,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.39 : 32,814.49 = 8,547.88 : x
  2. Step 2: Convert to fraction form
    21,877.39/32,814.49 = 8,547.88/x
  3. Step 3: Cross multiply
    21,877.39x = 32,814.49 × 8,547.88
  4. Step 4: Simplify right side
    21,877.39x = 280,494,158.71
  5. Step 5: Solve for x
    x = 280,494,158.71/21,877.39
  6. Step 6: Final answer
    x = 12,821.19

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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.