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Finding the Fourth Proportional to 11,474.72, 15,836.16 and 6,998.72

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Solution

The fourth proportional to 11,474.72, 15,836.16 and 6,998.72 is: 9,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.72 : 15,836.16 = 6,998.72 : x
  2. Step 2: Convert to fraction form
    11,474.72/15,836.16 = 6,998.72/x
  3. Step 3: Cross multiply
    11,474.72x = 15,836.16 × 6,998.72
  4. Step 4: Simplify right side
    11,474.72x = 110,832,849.72
  5. Step 5: Solve for x
    x = 110,832,849.72/11,474.72
  6. Step 6: Final answer
    x = 9,658.87

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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.