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Finding the Fourth Proportional to 2,710.06, 4,065.09 and 762.27

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Solution

The fourth proportional to 2,710.06, 4,065.09 and 762.27 is: 1,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.06 : 4,065.09 = 762.27 : x
  2. Step 2: Convert to fraction form
    2,710.06/4,065.09 = 762.27/x
  3. Step 3: Cross multiply
    2,710.06x = 4,065.09 × 762.27
  4. Step 4: Simplify right side
    2,710.06x = 3,098,677.73
  5. Step 5: Solve for x
    x = 3,098,677.73/2,710.06
  6. Step 6: Final answer
    x = 1,143.40

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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.