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Finding the Fourth Proportional to 12,811.28, 17,672.45 and 7,505.07

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Solution

The fourth proportional to 12,811.28, 17,672.45 and 7,505.07 is: 10,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.28 : 17,672.45 = 7,505.07 : x
  2. Step 2: Convert to fraction form
    12,811.28/17,672.45 = 7,505.07/x
  3. Step 3: Cross multiply
    12,811.28x = 17,672.45 × 7,505.07
  4. Step 4: Simplify right side
    12,811.28x = 132,632,974.32
  5. Step 5: Solve for x
    x = 132,632,974.32/12,811.28
  6. Step 6: Final answer
    x = 10,352.83

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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.