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Finding the Fourth Proportional to 2,590.08, 3,574.08 and 1,542

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Solution

The fourth proportional to 2,590.08, 3,574.08 and 1,542 is: 2,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.08 : 3,574.08 = 1,542 : x
  2. Step 2: Convert to fraction form
    2,590.08/3,574.08 = 1,542/x
  3. Step 3: Cross multiply
    2,590.08x = 3,574.08 × 1,542
  4. Step 4: Simplify right side
    2,590.08x = 5,511,231.36
  5. Step 5: Solve for x
    x = 5,511,231.36/2,590.08
  6. Step 6: Final answer
    x = 2,127.82

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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.