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Finding the Fourth Proportional to 3,840.60, 5,760.86 and 3,319.01

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Solution

The fourth proportional to 3,840.60, 5,760.86 and 3,319.01 is: 4,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.60 : 5,760.86 = 3,319.01 : x
  2. Step 2: Convert to fraction form
    3,840.60/5,760.86 = 3,319.01/x
  3. Step 3: Cross multiply
    3,840.60x = 5,760.86 × 3,319.01
  4. Step 4: Simplify right side
    3,840.60x = 19,120,306.55
  5. Step 5: Solve for x
    x = 19,120,306.55/3,840.60
  6. Step 6: Final answer
    x = 4,978.47

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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.