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Finding the Fourth Proportional to 1,687, 2,528.61 and 1,274.80

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Solution

The fourth proportional to 1,687, 2,528.61 and 1,274.80 is: 1,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687 : 2,528.61 = 1,274.80 : x
  2. Step 2: Convert to fraction form
    1,687/2,528.61 = 1,274.80/x
  3. Step 3: Cross multiply
    1,687x = 2,528.61 × 1,274.80
  4. Step 4: Simplify right side
    1,687x = 3,223,472.03
  5. Step 5: Solve for x
    x = 3,223,472.03/1,687
  6. Step 6: Final answer
    x = 1,910.77

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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.