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Finding the Fourth Proportional to 2,582.50, 3,573.24 and 2,251.62

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Solution

The fourth proportional to 2,582.50, 3,573.24 and 2,251.62 is: 3,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.50 : 3,573.24 = 2,251.62 : x
  2. Step 2: Convert to fraction form
    2,582.50/3,573.24 = 2,251.62/x
  3. Step 3: Cross multiply
    2,582.50x = 3,573.24 × 2,251.62
  4. Step 4: Simplify right side
    2,582.50x = 8,045,549.52
  5. Step 5: Solve for x
    x = 8,045,549.52/2,582.50
  6. Step 6: Final answer
    x = 3,115.41

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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.