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Finding the Fourth Proportional to 1,687.65, 2,531.54 and 1,360.52

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Solution

The fourth proportional to 1,687.65, 2,531.54 and 1,360.52 is: 2,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.65 : 2,531.54 = 1,360.52 : x
  2. Step 2: Convert to fraction form
    1,687.65/2,531.54 = 1,360.52/x
  3. Step 3: Cross multiply
    1,687.65x = 2,531.54 × 1,360.52
  4. Step 4: Simplify right side
    1,687.65x = 3,444,191.34
  5. Step 5: Solve for x
    x = 3,444,191.34/1,687.65
  6. Step 6: Final answer
    x = 2,040.82

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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.