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Finding the Fourth Proportional to 2,508.34, 3,761.64 and 864.50

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Solution

The fourth proportional to 2,508.34, 3,761.64 and 864.50 is: 1,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.34 : 3,761.64 = 864.50 : x
  2. Step 2: Convert to fraction form
    2,508.34/3,761.64 = 864.50/x
  3. Step 3: Cross multiply
    2,508.34x = 3,761.64 × 864.50
  4. Step 4: Simplify right side
    2,508.34x = 3,251,937.78
  5. Step 5: Solve for x
    x = 3,251,937.78/2,508.34
  6. Step 6: Final answer
    x = 1,296.45

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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.