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Finding the Fourth Proportional to 2,590.78, 3,575.01 and 1,542.64

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Solution

The fourth proportional to 2,590.78, 3,575.01 and 1,542.64 is: 2,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.78 : 3,575.01 = 1,542.64 : x
  2. Step 2: Convert to fraction form
    2,590.78/3,575.01 = 1,542.64/x
  3. Step 3: Cross multiply
    2,590.78x = 3,575.01 × 1,542.64
  4. Step 4: Simplify right side
    2,590.78x = 5,514,953.43
  5. Step 5: Solve for x
    x = 5,514,953.43/2,590.78
  6. Step 6: Final answer
    x = 2,128.68

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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.