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Finding the Fourth Proportional to 1,988.10, 2,982.90 and 755.82

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Solution

The fourth proportional to 1,988.10, 2,982.90 and 755.82 is: 1,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.10 : 2,982.90 = 755.82 : x
  2. Step 2: Convert to fraction form
    1,988.10/2,982.90 = 755.82/x
  3. Step 3: Cross multiply
    1,988.10x = 2,982.90 × 755.82
  4. Step 4: Simplify right side
    1,988.10x = 2,254,535.48
  5. Step 5: Solve for x
    x = 2,254,535.48/1,988.10
  6. Step 6: Final answer
    x = 1,134.02

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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.