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Finding the Fourth Proportional to 9,379, 12,943.02 and 5,187.52

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Solution

The fourth proportional to 9,379, 12,943.02 and 5,187.52 is: 7,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379 : 12,943.02 = 5,187.52 : x
  2. Step 2: Convert to fraction form
    9,379/12,943.02 = 5,187.52/x
  3. Step 3: Cross multiply
    9,379x = 12,943.02 × 5,187.52
  4. Step 4: Simplify right side
    9,379x = 67,142,175.11
  5. Step 5: Solve for x
    x = 67,142,175.11/9,379
  6. Step 6: Final answer
    x = 7,158.78

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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.