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Finding the Fourth Proportional to 2,587.16, 3,880.72 and 763.16

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Solution

The fourth proportional to 2,587.16, 3,880.72 and 763.16 is: 1,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.16 : 3,880.72 = 763.16 : x
  2. Step 2: Convert to fraction form
    2,587.16/3,880.72 = 763.16/x
  3. Step 3: Cross multiply
    2,587.16x = 3,880.72 × 763.16
  4. Step 4: Simplify right side
    2,587.16x = 2,961,610.28
  5. Step 5: Solve for x
    x = 2,961,610.28/2,587.16
  6. Step 6: Final answer
    x = 1,144.73

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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.