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Finding the Fourth Proportional to 10,980.10, 16,470.15 and 3,187.90

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Solution

The fourth proportional to 10,980.10, 16,470.15 and 3,187.90 is: 4,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.10 : 16,470.15 = 3,187.90 : x
  2. Step 2: Convert to fraction form
    10,980.10/16,470.15 = 3,187.90/x
  3. Step 3: Cross multiply
    10,980.10x = 16,470.15 × 3,187.90
  4. Step 4: Simplify right side
    10,980.10x = 52,505,191.19
  5. Step 5: Solve for x
    x = 52,505,191.19/10,980.10
  6. Step 6: Final answer
    x = 4,781.85

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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.