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Finding the Fourth Proportional to 11,757.12, 16,228.28 and 6,724.20

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Solution

The fourth proportional to 11,757.12, 16,228.28 and 6,724.20 is: 9,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.12 : 16,228.28 = 6,724.20 : x
  2. Step 2: Convert to fraction form
    11,757.12/16,228.28 = 6,724.20/x
  3. Step 3: Cross multiply
    11,757.12x = 16,228.28 × 6,724.20
  4. Step 4: Simplify right side
    11,757.12x = 109,122,200.38
  5. Step 5: Solve for x
    x = 109,122,200.38/11,757.12
  6. Step 6: Final answer
    x = 9,281.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.