Home / 1,724.11-2,379.16-978.05

Finding the Fourth Proportional to 1,724.11, 2,379.16 and 978.05

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Solution

The fourth proportional to 1,724.11, 2,379.16 and 978.05 is: 1,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.11 : 2,379.16 = 978.05 : x
  2. Step 2: Convert to fraction form
    1,724.11/2,379.16 = 978.05/x
  3. Step 3: Cross multiply
    1,724.11x = 2,379.16 × 978.05
  4. Step 4: Simplify right side
    1,724.11x = 2,326,937.44
  5. Step 5: Solve for x
    x = 2,326,937.44/1,724.11
  6. Step 6: Final answer
    x = 1,349.65

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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.