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Finding the Fourth Proportional to 2,503.22, 3,753.87 and 859.46

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Solution

The fourth proportional to 2,503.22, 3,753.87 and 859.46 is: 1,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.22 : 3,753.87 = 859.46 : x
  2. Step 2: Convert to fraction form
    2,503.22/3,753.87 = 859.46/x
  3. Step 3: Cross multiply
    2,503.22x = 3,753.87 × 859.46
  4. Step 4: Simplify right side
    2,503.22x = 3,226,301.11
  5. Step 5: Solve for x
    x = 3,226,301.11/2,503.22
  6. Step 6: Final answer
    x = 1,288.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.