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Finding the Fourth Proportional to 9,379.80, 12,943.80 and 5,187.78

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Solution

The fourth proportional to 9,379.80, 12,943.80 and 5,187.78 is: 7,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.80 : 12,943.80 = 5,187.78 : x
  2. Step 2: Convert to fraction form
    9,379.80/12,943.80 = 5,187.78/x
  3. Step 3: Cross multiply
    9,379.80x = 12,943.80 × 5,187.78
  4. Step 4: Simplify right side
    9,379.80x = 67,149,586.76
  5. Step 5: Solve for x
    x = 67,149,586.76/9,379.80
  6. Step 6: Final answer
    x = 7,158.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.