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Finding the Fourth Proportional to 2,567.43, 3,851.80 and 718.55

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Solution

The fourth proportional to 2,567.43, 3,851.80 and 718.55 is: 1,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.43 : 3,851.80 = 718.55 : x
  2. Step 2: Convert to fraction form
    2,567.43/3,851.80 = 718.55/x
  3. Step 3: Cross multiply
    2,567.43x = 3,851.80 × 718.55
  4. Step 4: Simplify right side
    2,567.43x = 2,767,704.28
  5. Step 5: Solve for x
    x = 2,767,704.28/2,567.43
  6. Step 6: Final answer
    x = 1,078.01

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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.