Home / 2,590.14-3,575.43-1,542

Finding the Fourth Proportional to 2,590.14, 3,575.43 and 1,542

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Solution

The fourth proportional to 2,590.14, 3,575.43 and 1,542 is: 2,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.14 : 3,575.43 = 1,542 : x
  2. Step 2: Convert to fraction form
    2,590.14/3,575.43 = 1,542/x
  3. Step 3: Cross multiply
    2,590.14x = 3,575.43 × 1,542
  4. Step 4: Simplify right side
    2,590.14x = 5,513,313.06
  5. Step 5: Solve for x
    x = 5,513,313.06/2,590.14
  6. Step 6: Final answer
    x = 2,128.58

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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.