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Finding the Fourth Proportional to 1,542.70, 2,128.98 and 879.55

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Solution

The fourth proportional to 1,542.70, 2,128.98 and 879.55 is: 1,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.70 : 2,128.98 = 879.55 : x
  2. Step 2: Convert to fraction form
    1,542.70/2,128.98 = 879.55/x
  3. Step 3: Cross multiply
    1,542.70x = 2,128.98 × 879.55
  4. Step 4: Simplify right side
    1,542.70x = 1,872,535.91
  5. Step 5: Solve for x
    x = 1,872,535.91/1,542.70
  6. Step 6: Final answer
    x = 1,213.80

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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.