Home / 2,827.24-4,241.40-978.40

Finding the Fourth Proportional to 2,827.24, 4,241.40 and 978.40

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Solution

The fourth proportional to 2,827.24, 4,241.40 and 978.40 is: 1,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.24 : 4,241.40 = 978.40 : x
  2. Step 2: Convert to fraction form
    2,827.24/4,241.40 = 978.40/x
  3. Step 3: Cross multiply
    2,827.24x = 4,241.40 × 978.40
  4. Step 4: Simplify right side
    2,827.24x = 4,149,785.76
  5. Step 5: Solve for x
    x = 4,149,785.76/2,827.24
  6. Step 6: Final answer
    x = 1,467.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.