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Finding the Fourth Proportional to 2,567.58, 3,851.13 and 718.86

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Solution

The fourth proportional to 2,567.58, 3,851.13 and 718.86 is: 1,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.58 : 3,851.13 = 718.86 : x
  2. Step 2: Convert to fraction form
    2,567.58/3,851.13 = 718.86/x
  3. Step 3: Cross multiply
    2,567.58x = 3,851.13 × 718.86
  4. Step 4: Simplify right side
    2,567.58x = 2,768,423.31
  5. Step 5: Solve for x
    x = 2,768,423.31/2,567.58
  6. Step 6: Final answer
    x = 1,078.22

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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.