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Finding the Fourth Proportional to 2,763.57, 4,147.17 and 1,302.87

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Solution

The fourth proportional to 2,763.57, 4,147.17 and 1,302.87 is: 1,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.57 : 4,147.17 = 1,302.87 : x
  2. Step 2: Convert to fraction form
    2,763.57/4,147.17 = 1,302.87/x
  3. Step 3: Cross multiply
    2,763.57x = 4,147.17 × 1,302.87
  4. Step 4: Simplify right side
    2,763.57x = 5,403,202.64
  5. Step 5: Solve for x
    x = 5,403,202.64/2,763.57
  6. Step 6: Final answer
    x = 1,955.16

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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.