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Finding the Fourth Proportional to 15,141.13, 20,896.97 and 9,091.78

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Solution

The fourth proportional to 15,141.13, 20,896.97 and 9,091.78 is: 12,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.13 : 20,896.97 = 9,091.78 : x
  2. Step 2: Convert to fraction form
    15,141.13/20,896.97 = 9,091.78/x
  3. Step 3: Cross multiply
    15,141.13x = 20,896.97 × 9,091.78
  4. Step 4: Simplify right side
    15,141.13x = 189,990,556.21
  5. Step 5: Solve for x
    x = 189,990,556.21/15,141.13
  6. Step 6: Final answer
    x = 12,547.98

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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.