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Finding the Fourth Proportional to 3,988.56, 5,986.56 and 2,042.16

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Solution

The fourth proportional to 3,988.56, 5,986.56 and 2,042.16 is: 3,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.56 : 5,986.56 = 2,042.16 : x
  2. Step 2: Convert to fraction form
    3,988.56/5,986.56 = 2,042.16/x
  3. Step 3: Cross multiply
    3,988.56x = 5,986.56 × 2,042.16
  4. Step 4: Simplify right side
    3,988.56x = 12,225,513.37
  5. Step 5: Solve for x
    x = 12,225,513.37/3,988.56
  6. Step 6: Final answer
    x = 3,065.14

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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.