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Finding the Fourth Proportional to 9,891.72, 13,648.32 and 5,912.16

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Solution

The fourth proportional to 9,891.72, 13,648.32 and 5,912.16 is: 8,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.72 : 13,648.32 = 5,912.16 : x
  2. Step 2: Convert to fraction form
    9,891.72/13,648.32 = 5,912.16/x
  3. Step 3: Cross multiply
    9,891.72x = 13,648.32 × 5,912.16
  4. Step 4: Simplify right side
    9,891.72x = 80,691,051.57
  5. Step 5: Solve for x
    x = 80,691,051.57/9,891.72
  6. Step 6: Final answer
    x = 8,157.43

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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.