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Finding the Fourth Proportional to 2,713.62, 4,070.42 and 765.82

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Solution

The fourth proportional to 2,713.62, 4,070.42 and 765.82 is: 1,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.62 : 4,070.42 = 765.82 : x
  2. Step 2: Convert to fraction form
    2,713.62/4,070.42 = 765.82/x
  3. Step 3: Cross multiply
    2,713.62x = 4,070.42 × 765.82
  4. Step 4: Simplify right side
    2,713.62x = 3,117,184.86
  5. Step 5: Solve for x
    x = 3,117,184.86/2,713.62
  6. Step 6: Final answer
    x = 1,148.72

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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.