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Finding the Fourth Proportional to 2,710.12, 4,065.24 and 762.28

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Solution

The fourth proportional to 2,710.12, 4,065.24 and 762.28 is: 1,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.12 : 4,065.24 = 762.28 : x
  2. Step 2: Convert to fraction form
    2,710.12/4,065.24 = 762.28/x
  3. Step 3: Cross multiply
    2,710.12x = 4,065.24 × 762.28
  4. Step 4: Simplify right side
    2,710.12x = 3,098,851.15
  5. Step 5: Solve for x
    x = 3,098,851.15/2,710.12
  6. Step 6: Final answer
    x = 1,143.44

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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.