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Finding the Fourth Proportional to 1,724.28, 2,378.97 and 978.18

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Solution

The fourth proportional to 1,724.28, 2,378.97 and 978.18 is: 1,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.28 : 2,378.97 = 978.18 : x
  2. Step 2: Convert to fraction form
    1,724.28/2,378.97 = 978.18/x
  3. Step 3: Cross multiply
    1,724.28x = 2,378.97 × 978.18
  4. Step 4: Simplify right side
    1,724.28x = 2,327,060.87
  5. Step 5: Solve for x
    x = 2,327,060.87/1,724.28
  6. Step 6: Final answer
    x = 1,349.58

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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.