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Finding the Fourth Proportional to 7,663.62, 11,503.53 and 3,770.76

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Solution

The fourth proportional to 7,663.62, 11,503.53 and 3,770.76 is: 5,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.62 : 11,503.53 = 3,770.76 : x
  2. Step 2: Convert to fraction form
    7,663.62/11,503.53 = 3,770.76/x
  3. Step 3: Cross multiply
    7,663.62x = 11,503.53 × 3,770.76
  4. Step 4: Simplify right side
    7,663.62x = 43,377,050.78
  5. Step 5: Solve for x
    x = 43,377,050.78/7,663.62
  6. Step 6: Final answer
    x = 5,660.13

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1.5x scale

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.