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Finding the Fourth Proportional to 2,211.60, 3,317.41 and 978.68

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Solution

The fourth proportional to 2,211.60, 3,317.41 and 978.68 is: 1,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.60 : 3,317.41 = 978.68 : x
  2. Step 2: Convert to fraction form
    2,211.60/3,317.41 = 978.68/x
  3. Step 3: Cross multiply
    2,211.60x = 3,317.41 × 978.68
  4. Step 4: Simplify right side
    2,211.60x = 3,246,686.83
  5. Step 5: Solve for x
    x = 3,246,686.83/2,211.60
  6. Step 6: Final answer
    x = 1,468.02

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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.