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Finding the Fourth Proportional to 5,642.58, 7,789.42 and 3,757.30

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Solution

The fourth proportional to 5,642.58, 7,789.42 and 3,757.30 is: 5,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.58 : 7,789.42 = 3,757.30 : x
  2. Step 2: Convert to fraction form
    5,642.58/7,789.42 = 3,757.30/x
  3. Step 3: Cross multiply
    5,642.58x = 7,789.42 × 3,757.30
  4. Step 4: Simplify right side
    5,642.58x = 29,267,187.77
  5. Step 5: Solve for x
    x = 29,267,187.77/5,642.58
  6. Step 6: Final answer
    x = 5,186.84

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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.