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Finding the Fourth Proportional to 3,542.70, 4,877.68 and 2,700.70

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Solution

The fourth proportional to 3,542.70, 4,877.68 and 2,700.70 is: 3,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.70 : 4,877.68 = 2,700.70 : x
  2. Step 2: Convert to fraction form
    3,542.70/4,877.68 = 2,700.70/x
  3. Step 3: Cross multiply
    3,542.70x = 4,877.68 × 2,700.70
  4. Step 4: Simplify right side
    3,542.70x = 13,173,150.38
  5. Step 5: Solve for x
    x = 13,173,150.38/3,542.70
  6. Step 6: Final answer
    x = 3,718.39

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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.