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Finding the Fourth Proportional to 20,978.17, 31,452.59 and 9,874.13

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Solution

The fourth proportional to 20,978.17, 31,452.59 and 9,874.13 is: 14,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.17 : 31,452.59 = 9,874.13 : x
  2. Step 2: Convert to fraction form
    20,978.17/31,452.59 = 9,874.13/x
  3. Step 3: Cross multiply
    20,978.17x = 31,452.59 × 9,874.13
  4. Step 4: Simplify right side
    20,978.17x = 310,566,829.92
  5. Step 5: Solve for x
    x = 310,566,829.92/20,978.17
  6. Step 6: Final answer
    x = 14,804.29

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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.