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Finding the Fourth Proportional to 3,860, 5,331.20 and 2,615.84

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Solution

The fourth proportional to 3,860, 5,331.20 and 2,615.84 is: 3,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860 : 5,331.20 = 2,615.84 : x
  2. Step 2: Convert to fraction form
    3,860/5,331.20 = 2,615.84/x
  3. Step 3: Cross multiply
    3,860x = 5,331.20 × 2,615.84
  4. Step 4: Simplify right side
    3,860x = 13,945,566.21
  5. Step 5: Solve for x
    x = 13,945,566.21/3,860
  6. Step 6: Final answer
    x = 3,612.84

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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.