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Finding the Fourth Proportional to 21,870, 32,810.87 and 8,731.60

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Solution

The fourth proportional to 21,870, 32,810.87 and 8,731.60 is: 13,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870 : 32,810.87 = 8,731.60 : x
  2. Step 2: Convert to fraction form
    21,870/32,810.87 = 8,731.60/x
  3. Step 3: Cross multiply
    21,870x = 32,810.87 × 8,731.60
  4. Step 4: Simplify right side
    21,870x = 286,491,332.29
  5. Step 5: Solve for x
    x = 286,491,332.29/21,870
  6. Step 6: Final answer
    x = 13,099.74

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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.