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Finding the Fourth Proportional to 2,191.60, 3,286.28 and 652.40

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Solution

The fourth proportional to 2,191.60, 3,286.28 and 652.40 is: 978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.60 : 3,286.28 = 652.40 : x
  2. Step 2: Convert to fraction form
    2,191.60/3,286.28 = 652.40/x
  3. Step 3: Cross multiply
    2,191.60x = 3,286.28 × 652.40
  4. Step 4: Simplify right side
    2,191.60x = 2,143,969.07
  5. Step 5: Solve for x
    x = 2,143,969.07/2,191.60
  6. Step 6: Final answer
    x = 978.27

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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.