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Finding the Fourth Proportional to 11,506.71, 15,879.02 and 6,402.11

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Solution

The fourth proportional to 11,506.71, 15,879.02 and 6,402.11 is: 8,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.71 : 15,879.02 = 6,402.11 : x
  2. Step 2: Convert to fraction form
    11,506.71/15,879.02 = 6,402.11/x
  3. Step 3: Cross multiply
    11,506.71x = 15,879.02 × 6,402.11
  4. Step 4: Simplify right side
    11,506.71x = 101,659,288.44
  5. Step 5: Solve for x
    x = 101,659,288.44/11,506.71
  6. Step 6: Final answer
    x = 8,834.78

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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.