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Finding the Fourth Proportional to 2,189.62, 3,284.40 and 546.16

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Solution

The fourth proportional to 2,189.62, 3,284.40 and 546.16 is: 819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.62 : 3,284.40 = 546.16 : x
  2. Step 2: Convert to fraction form
    2,189.62/3,284.40 = 546.16/x
  3. Step 3: Cross multiply
    2,189.62x = 3,284.40 × 546.16
  4. Step 4: Simplify right side
    2,189.62x = 1,793,807.90
  5. Step 5: Solve for x
    x = 1,793,807.90/2,189.62
  6. Step 6: Final answer
    x = 819.23

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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.