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Finding the Fourth Proportional to 5,454.40, 8,182.20 and 1,992.40

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Solution

The fourth proportional to 5,454.40, 8,182.20 and 1,992.40 is: 2,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.40 : 8,182.20 = 1,992.40 : x
  2. Step 2: Convert to fraction form
    5,454.40/8,182.20 = 1,992.40/x
  3. Step 3: Cross multiply
    5,454.40x = 8,182.20 × 1,992.40
  4. Step 4: Simplify right side
    5,454.40x = 16,302,215.28
  5. Step 5: Solve for x
    x = 16,302,215.28/5,454.40
  6. Step 6: Final answer
    x = 2,988.82

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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.