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Finding the Fourth Proportional to 2,189.64, 3,284.34 and 546.15

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Solution

The fourth proportional to 2,189.64, 3,284.34 and 546.15 is: 819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.64 : 3,284.34 = 546.15 : x
  2. Step 2: Convert to fraction form
    2,189.64/3,284.34 = 546.15/x
  3. Step 3: Cross multiply
    2,189.64x = 3,284.34 × 546.15
  4. Step 4: Simplify right side
    2,189.64x = 1,793,742.29
  5. Step 5: Solve for x
    x = 1,793,742.29/2,189.64
  6. Step 6: Final answer
    x = 819.20

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1.5x scale

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.