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Finding the Fourth Proportional to 20,866.88, 31,303.20 and 8,552

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Solution

The fourth proportional to 20,866.88, 31,303.20 and 8,552 is: 12,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.88 : 31,303.20 = 8,552 : x
  2. Step 2: Convert to fraction form
    20,866.88/31,303.20 = 8,552/x
  3. Step 3: Cross multiply
    20,866.88x = 31,303.20 × 8,552
  4. Step 4: Simplify right side
    20,866.88x = 267,704,966.40
  5. Step 5: Solve for x
    x = 267,704,966.40/20,866.88
  6. Step 6: Final answer
    x = 12,829.18

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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.