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Finding the Fourth Proportional to 5,704.80, 7,865.20 and 4,187.57

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Solution

The fourth proportional to 5,704.80, 7,865.20 and 4,187.57 is: 5,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.80 : 7,865.20 = 4,187.57 : x
  2. Step 2: Convert to fraction form
    5,704.80/7,865.20 = 4,187.57/x
  3. Step 3: Cross multiply
    5,704.80x = 7,865.20 × 4,187.57
  4. Step 4: Simplify right side
    5,704.80x = 32,936,041.47
  5. Step 5: Solve for x
    x = 32,936,041.47/5,704.80
  6. Step 6: Final answer
    x = 5,773.39

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1.5x scale

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.