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Finding the Fourth Proportional to 7,750, 11,624.96 and 4,294.56

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Solution

The fourth proportional to 7,750, 11,624.96 and 4,294.56 is: 6,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750 : 11,624.96 = 4,294.56 : x
  2. Step 2: Convert to fraction form
    7,750/11,624.96 = 4,294.56/x
  3. Step 3: Cross multiply
    7,750x = 11,624.96 × 4,294.56
  4. Step 4: Simplify right side
    7,750x = 49,924,088.22
  5. Step 5: Solve for x
    x = 49,924,088.22/7,750
  6. Step 6: Final answer
    x = 6,441.82

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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.