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Finding the Fourth Proportional to 2,076.08, 3,114.65 and 689.80

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Solution

The fourth proportional to 2,076.08, 3,114.65 and 689.80 is: 1,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.08 : 3,114.65 = 689.80 : x
  2. Step 2: Convert to fraction form
    2,076.08/3,114.65 = 689.80/x
  3. Step 3: Cross multiply
    2,076.08x = 3,114.65 × 689.80
  4. Step 4: Simplify right side
    2,076.08x = 2,148,485.57
  5. Step 5: Solve for x
    x = 2,148,485.57/2,076.08
  6. Step 6: Final answer
    x = 1,034.88

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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.