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Finding the Fourth Proportional to 2,661.13, 3,672.36 and 1,542.28

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Solution

The fourth proportional to 2,661.13, 3,672.36 and 1,542.28 is: 2,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.13 : 3,672.36 = 1,542.28 : x
  2. Step 2: Convert to fraction form
    2,661.13/3,672.36 = 1,542.28/x
  3. Step 3: Cross multiply
    2,661.13x = 3,672.36 × 1,542.28
  4. Step 4: Simplify right side
    2,661.13x = 5,663,807.38
  5. Step 5: Solve for x
    x = 5,663,807.38/2,661.13
  6. Step 6: Final answer
    x = 2,128.35

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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.