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Finding the Fourth Proportional to 2,590.44, 3,575.10 and 1,542.48

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Solution

The fourth proportional to 2,590.44, 3,575.10 and 1,542.48 is: 2,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.44 : 3,575.10 = 1,542.48 : x
  2. Step 2: Convert to fraction form
    2,590.44/3,575.10 = 1,542.48/x
  3. Step 3: Cross multiply
    2,590.44x = 3,575.10 × 1,542.48
  4. Step 4: Simplify right side
    2,590.44x = 5,514,520.25
  5. Step 5: Solve for x
    x = 5,514,520.25/2,590.44
  6. Step 6: Final answer
    x = 2,128.80

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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.