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Finding the Fourth Proportional to 1,627.68, 2,442.16 and 978.88

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Solution

The fourth proportional to 1,627.68, 2,442.16 and 978.88 is: 1,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.68 : 2,442.16 = 978.88 : x
  2. Step 2: Convert to fraction form
    1,627.68/2,442.16 = 978.88/x
  3. Step 3: Cross multiply
    1,627.68x = 2,442.16 × 978.88
  4. Step 4: Simplify right side
    1,627.68x = 2,390,581.58
  5. Step 5: Solve for x
    x = 2,390,581.58/1,627.68
  6. Step 6: Final answer
    x = 1,468.70

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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.