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Finding the Fourth Proportional to 2,750.13, 4,124.73 and 775.90

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Solution

The fourth proportional to 2,750.13, 4,124.73 and 775.90 is: 1,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.13 : 4,124.73 = 775.90 : x
  2. Step 2: Convert to fraction form
    2,750.13/4,124.73 = 775.90/x
  3. Step 3: Cross multiply
    2,750.13x = 4,124.73 × 775.90
  4. Step 4: Simplify right side
    2,750.13x = 3,200,378.01
  5. Step 5: Solve for x
    x = 3,200,378.01/2,750.13
  6. Step 6: Final answer
    x = 1,163.72

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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.