Home / 1,724.20-2,379.48-978.12

Finding the Fourth Proportional to 1,724.20, 2,379.48 and 978.12

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Solution

The fourth proportional to 1,724.20, 2,379.48 and 978.12 is: 1,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.20 : 2,379.48 = 978.12 : x
  2. Step 2: Convert to fraction form
    1,724.20/2,379.48 = 978.12/x
  3. Step 3: Cross multiply
    1,724.20x = 2,379.48 × 978.12
  4. Step 4: Simplify right side
    1,724.20x = 2,327,416.98
  5. Step 5: Solve for x
    x = 2,327,416.98/1,724.20
  6. Step 6: Final answer
    x = 1,349.85

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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.