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Finding the Fourth Proportional to 3,747.84, 5,164.80 and 2,641.92

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Solution

The fourth proportional to 3,747.84, 5,164.80 and 2,641.92 is: 3,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.84 : 5,164.80 = 2,641.92 : x
  2. Step 2: Convert to fraction form
    3,747.84/5,164.80 = 2,641.92/x
  3. Step 3: Cross multiply
    3,747.84x = 5,164.80 × 2,641.92
  4. Step 4: Simplify right side
    3,747.84x = 13,644,988.42
  5. Step 5: Solve for x
    x = 13,644,988.42/3,747.84
  6. Step 6: Final answer
    x = 3,640.76

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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.