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Finding the Fourth Proportional to 2,701.70, 4,052.62 and 753.90

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Solution

The fourth proportional to 2,701.70, 4,052.62 and 753.90 is: 1,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.70 : 4,052.62 = 753.90 : x
  2. Step 2: Convert to fraction form
    2,701.70/4,052.62 = 753.90/x
  3. Step 3: Cross multiply
    2,701.70x = 4,052.62 × 753.90
  4. Step 4: Simplify right side
    2,701.70x = 3,055,253.14
  5. Step 5: Solve for x
    x = 3,055,253.14/2,701.70
  6. Step 6: Final answer
    x = 1,130.87

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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.