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Finding the Fourth Proportional to 5,704.20, 7,868.88 and 3,718.08

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Solution

The fourth proportional to 5,704.20, 7,868.88 and 3,718.08 is: 5,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.20 : 7,868.88 = 3,718.08 : x
  2. Step 2: Convert to fraction form
    5,704.20/7,868.88 = 3,718.08/x
  3. Step 3: Cross multiply
    5,704.20x = 7,868.88 × 3,718.08
  4. Step 4: Simplify right side
    5,704.20x = 29,257,125.35
  5. Step 5: Solve for x
    x = 29,257,125.35/5,704.20
  6. Step 6: Final answer
    x = 5,129.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.