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Finding the Fourth Proportional to 2,710.50, 4,065.89 and 762.86

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Solution

The fourth proportional to 2,710.50, 4,065.89 and 762.86 is: 1,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.50 : 4,065.89 = 762.86 : x
  2. Step 2: Convert to fraction form
    2,710.50/4,065.89 = 762.86/x
  3. Step 3: Cross multiply
    2,710.50x = 4,065.89 × 762.86
  4. Step 4: Simplify right side
    2,710.50x = 3,101,680.70
  5. Step 5: Solve for x
    x = 3,101,680.70/2,710.50
  6. Step 6: Final answer
    x = 1,144.32

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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.