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Finding the Fourth Proportional to 2,713.37, 4,070.22 and 765.74

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Solution

The fourth proportional to 2,713.37, 4,070.22 and 765.74 is: 1,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.37 : 4,070.22 = 765.74 : x
  2. Step 2: Convert to fraction form
    2,713.37/4,070.22 = 765.74/x
  3. Step 3: Cross multiply
    2,713.37x = 4,070.22 × 765.74
  4. Step 4: Simplify right side
    2,713.37x = 3,116,730.26
  5. Step 5: Solve for x
    x = 3,116,730.26/2,713.37
  6. Step 6: Final answer
    x = 1,148.66

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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.