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Finding the Fourth Proportional to 5,531.61, 7,631.20 and 3,640.76

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Solution

The fourth proportional to 5,531.61, 7,631.20 and 3,640.76 is: 5,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.61 : 7,631.20 = 3,640.76 : x
  2. Step 2: Convert to fraction form
    5,531.61/7,631.20 = 3,640.76/x
  3. Step 3: Cross multiply
    5,531.61x = 7,631.20 × 3,640.76
  4. Step 4: Simplify right side
    5,531.61x = 27,783,367.71
  5. Step 5: Solve for x
    x = 27,783,367.71/5,531.61
  6. Step 6: Final answer
    x = 5,022.65

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1.5x scale

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.