Home / 2,827.90-4,240.62-978.52

Finding the Fourth Proportional to 2,827.90, 4,240.62 and 978.52

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Solution

The fourth proportional to 2,827.90, 4,240.62 and 978.52 is: 1,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.90 : 4,240.62 = 978.52 : x
  2. Step 2: Convert to fraction form
    2,827.90/4,240.62 = 978.52/x
  3. Step 3: Cross multiply
    2,827.90x = 4,240.62 × 978.52
  4. Step 4: Simplify right side
    2,827.90x = 4,149,531.48
  5. Step 5: Solve for x
    x = 4,149,531.48/2,827.90
  6. Step 6: Final answer
    x = 1,467.35

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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.