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Finding the Fourth Proportional to 2,982.78, 4,114.78 and 1,988.16

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Solution

The fourth proportional to 2,982.78, 4,114.78 and 1,988.16 is: 2,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.78 : 4,114.78 = 1,988.16 : x
  2. Step 2: Convert to fraction form
    2,982.78/4,114.78 = 1,988.16/x
  3. Step 3: Cross multiply
    2,982.78x = 4,114.78 × 1,988.16
  4. Step 4: Simplify right side
    2,982.78x = 8,180,841.00
  5. Step 5: Solve for x
    x = 8,180,841.00/2,982.78
  6. Step 6: Final answer
    x = 2,742.69

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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.