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Finding the Fourth Proportional to 8,304.86, 11,510.17 and 8,149.34

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Solution

The fourth proportional to 8,304.86, 11,510.17 and 8,149.34 is: 11,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.86 : 11,510.17 = 8,149.34 : x
  2. Step 2: Convert to fraction form
    8,304.86/11,510.17 = 8,149.34/x
  3. Step 3: Cross multiply
    8,304.86x = 11,510.17 × 8,149.34
  4. Step 4: Simplify right side
    8,304.86x = 93,800,288.79
  5. Step 5: Solve for x
    x = 93,800,288.79/8,304.86
  6. Step 6: Final answer
    x = 11,294.63

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.