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Finding the Fourth Proportional to 12,811.28, 17,678.76 and 7,146.86

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Solution

The fourth proportional to 12,811.28, 17,678.76 and 7,146.86 is: 9,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.28 : 17,678.76 = 7,146.86 : x
  2. Step 2: Convert to fraction form
    12,811.28/17,678.76 = 7,146.86/x
  3. Step 3: Cross multiply
    12,811.28x = 17,678.76 × 7,146.86
  4. Step 4: Simplify right side
    12,811.28x = 126,347,622.69
  5. Step 5: Solve for x
    x = 126,347,622.69/12,811.28
  6. Step 6: Final answer
    x = 9,862.22

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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.