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Finding the Fourth Proportional to 2,508.84, 3,763.35 and 865.44

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Solution

The fourth proportional to 2,508.84, 3,763.35 and 865.44 is: 1,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.84 : 3,763.35 = 865.44 : x
  2. Step 2: Convert to fraction form
    2,508.84/3,763.35 = 865.44/x
  3. Step 3: Cross multiply
    2,508.84x = 3,763.35 × 865.44
  4. Step 4: Simplify right side
    2,508.84x = 3,256,953.62
  5. Step 5: Solve for x
    x = 3,256,953.62/2,508.84
  6. Step 6: Final answer
    x = 1,298.19

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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.