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Finding the Fourth Proportional to 2,211.57, 3,317.40 and 978.75

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Solution

The fourth proportional to 2,211.57, 3,317.40 and 978.75 is: 1,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.57 : 3,317.40 = 978.75 : x
  2. Step 2: Convert to fraction form
    2,211.57/3,317.40 = 978.75/x
  3. Step 3: Cross multiply
    2,211.57x = 3,317.40 × 978.75
  4. Step 4: Simplify right side
    2,211.57x = 3,246,905.25
  5. Step 5: Solve for x
    x = 3,246,905.25/2,211.57
  6. Step 6: Final answer
    x = 1,468.14

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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.