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Finding the Fourth Proportional to 11,091.80, 16,646.40 and 7,738.24

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Solution

The fourth proportional to 11,091.80, 16,646.40 and 7,738.24 is: 11,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091.80 : 16,646.40 = 7,738.24 : x
  2. Step 2: Convert to fraction form
    11,091.80/16,646.40 = 7,738.24/x
  3. Step 3: Cross multiply
    11,091.80x = 16,646.40 × 7,738.24
  4. Step 4: Simplify right side
    11,091.80x = 128,813,799.64
  5. Step 5: Solve for x
    x = 128,813,799.64/11,091.80
  6. Step 6: Final answer
    x = 11,613.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.