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Finding the Fourth Proportional to 5,739.60, 7,920.40 and 3,381.88

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Solution

The fourth proportional to 5,739.60, 7,920.40 and 3,381.88 is: 4,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.60 : 7,920.40 = 3,381.88 : x
  2. Step 2: Convert to fraction form
    5,739.60/7,920.40 = 3,381.88/x
  3. Step 3: Cross multiply
    5,739.60x = 7,920.40 × 3,381.88
  4. Step 4: Simplify right side
    5,739.60x = 26,785,842.35
  5. Step 5: Solve for x
    x = 26,785,842.35/5,739.60
  6. Step 6: Final answer
    x = 4,666.85

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