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Finding the Fourth Proportional to 2,511.52, 3,767.50 and 867.40

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Solution

The fourth proportional to 2,511.52, 3,767.50 and 867.40 is: 1,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.52 : 3,767.50 = 867.40 : x
  2. Step 2: Convert to fraction form
    2,511.52/3,767.50 = 867.40/x
  3. Step 3: Cross multiply
    2,511.52x = 3,767.50 × 867.40
  4. Step 4: Simplify right side
    2,511.52x = 3,267,929.50
  5. Step 5: Solve for x
    x = 3,267,929.50/2,511.52
  6. Step 6: Final answer
    x = 1,301.18

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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.