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Finding the Fourth Proportional to 9,310.40, 13,951.86 and 7,340.75

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Solution

The fourth proportional to 9,310.40, 13,951.86 and 7,340.75 is: 11,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.40 : 13,951.86 = 7,340.75 : x
  2. Step 2: Convert to fraction form
    9,310.40/13,951.86 = 7,340.75/x
  3. Step 3: Cross multiply
    9,310.40x = 13,951.86 × 7,340.75
  4. Step 4: Simplify right side
    9,310.40x = 102,417,116.30
  5. Step 5: Solve for x
    x = 102,417,116.30/9,310.40
  6. Step 6: Final answer
    x = 11,000.29

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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.