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Finding the Fourth Proportional to 1,687.47, 2,532.17 and 822.51

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Solution

The fourth proportional to 1,687.47, 2,532.17 and 822.51 is: 1,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.47 : 2,532.17 = 822.51 : x
  2. Step 2: Convert to fraction form
    1,687.47/2,532.17 = 822.51/x
  3. Step 3: Cross multiply
    1,687.47x = 2,532.17 × 822.51
  4. Step 4: Simplify right side
    1,687.47x = 2,082,731.03
  5. Step 5: Solve for x
    x = 2,082,731.03/1,687.47
  6. Step 6: Final answer
    x = 1,234.23

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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.