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Finding the Fourth Proportional to 9,991.84, 13,790.40 and 9,548.96

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Solution

The fourth proportional to 9,991.84, 13,790.40 and 9,548.96 is: 13,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.84 : 13,790.40 = 9,548.96 : x
  2. Step 2: Convert to fraction form
    9,991.84/13,790.40 = 9,548.96/x
  3. Step 3: Cross multiply
    9,991.84x = 13,790.40 × 9,548.96
  4. Step 4: Simplify right side
    9,991.84x = 131,683,977.98
  5. Step 5: Solve for x
    x = 131,683,977.98/9,991.84
  6. Step 6: Final answer
    x = 13,179.15

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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.