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Finding the Fourth Proportional to 20,980.86, 31,471 and 8,500.78

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Solution

The fourth proportional to 20,980.86, 31,471 and 8,500.78 is: 12,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.86 : 31,471 = 8,500.78 : x
  2. Step 2: Convert to fraction form
    20,980.86/31,471 = 8,500.78/x
  3. Step 3: Cross multiply
    20,980.86x = 31,471 × 8,500.78
  4. Step 4: Simplify right side
    20,980.86x = 267,528,047.38
  5. Step 5: Solve for x
    x = 267,528,047.38/20,980.86
  6. Step 6: Final answer
    x = 12,751.05

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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.