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Finding the Fourth Proportional to 9,167.50, 12,631.62 and 6,178.15

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Solution

The fourth proportional to 9,167.50, 12,631.62 and 6,178.15 is: 8,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.50 : 12,631.62 = 6,178.15 : x
  2. Step 2: Convert to fraction form
    9,167.50/12,631.62 = 6,178.15/x
  3. Step 3: Cross multiply
    9,167.50x = 12,631.62 × 6,178.15
  4. Step 4: Simplify right side
    9,167.50x = 78,040,043.10
  5. Step 5: Solve for x
    x = 78,040,043.10/9,167.50
  6. Step 6: Final answer
    x = 8,512.69

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