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Finding the Fourth Proportional to 1,679.71, 2,316.93 and 1,082.97

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Solution

The fourth proportional to 1,679.71, 2,316.93 and 1,082.97 is: 1,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.71 : 2,316.93 = 1,082.97 : x
  2. Step 2: Convert to fraction form
    1,679.71/2,316.93 = 1,082.97/x
  3. Step 3: Cross multiply
    1,679.71x = 2,316.93 × 1,082.97
  4. Step 4: Simplify right side
    1,679.71x = 2,509,164.67
  5. Step 5: Solve for x
    x = 2,509,164.67/1,679.71
  6. Step 6: Final answer
    x = 1,493.81

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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.