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Finding the Fourth Proportional to 3,986.76, 5,977.92 and 3,060

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Solution

The fourth proportional to 3,986.76, 5,977.92 and 3,060 is: 4,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.76 : 5,977.92 = 3,060 : x
  2. Step 2: Convert to fraction form
    3,986.76/5,977.92 = 3,060/x
  3. Step 3: Cross multiply
    3,986.76x = 5,977.92 × 3,060
  4. Step 4: Simplify right side
    3,986.76x = 18,292,435.20
  5. Step 5: Solve for x
    x = 18,292,435.20/3,986.76
  6. Step 6: Final answer
    x = 4,588.30

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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.