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Finding the Fourth Proportional to 1,687.14, 2,328.28 and 931

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Solution

The fourth proportional to 1,687.14, 2,328.28 and 931 is: 1,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.14 : 2,328.28 = 931 : x
  2. Step 2: Convert to fraction form
    1,687.14/2,328.28 = 931/x
  3. Step 3: Cross multiply
    1,687.14x = 2,328.28 × 931
  4. Step 4: Simplify right side
    1,687.14x = 2,167,628.68
  5. Step 5: Solve for x
    x = 2,167,628.68/1,687.14
  6. Step 6: Final answer
    x = 1,284.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.