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Finding the Fourth Proportional to 9,991.83, 13,790.40 and 9,548.97

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Solution

The fourth proportional to 9,991.83, 13,790.40 and 9,548.97 is: 13,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.83 : 13,790.40 = 9,548.97 : x
  2. Step 2: Convert to fraction form
    9,991.83/13,790.40 = 9,548.97/x
  3. Step 3: Cross multiply
    9,991.83x = 13,790.40 × 9,548.97
  4. Step 4: Simplify right side
    9,991.83x = 131,684,115.89
  5. Step 5: Solve for x
    x = 131,684,115.89/9,991.83
  6. Step 6: Final answer
    x = 13,179.18

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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.