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Finding the Fourth Proportional to 8,739.92, 13,175.76 and 8,176.16

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Solution

The fourth proportional to 8,739.92, 13,175.76 and 8,176.16 is: 12,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.92 : 13,175.76 = 8,176.16 : x
  2. Step 2: Convert to fraction form
    8,739.92/13,175.76 = 8,176.16/x
  3. Step 3: Cross multiply
    8,739.92x = 13,175.76 × 8,176.16
  4. Step 4: Simplify right side
    8,739.92x = 107,727,076.87
  5. Step 5: Solve for x
    x = 107,727,076.87/8,739.92
  6. Step 6: Final answer
    x = 12,325.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.