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Finding the Fourth Proportional to 2,590.64, 3,576.12 and 1,542.50

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Solution

The fourth proportional to 2,590.64, 3,576.12 and 1,542.50 is: 2,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.64 : 3,576.12 = 1,542.50 : x
  2. Step 2: Convert to fraction form
    2,590.64/3,576.12 = 1,542.50/x
  3. Step 3: Cross multiply
    2,590.64x = 3,576.12 × 1,542.50
  4. Step 4: Simplify right side
    2,590.64x = 5,516,165.10
  5. Step 5: Solve for x
    x = 5,516,165.10/2,590.64
  6. Step 6: Final answer
    x = 2,129.27

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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.