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Finding the Fourth Proportional to 8,857.76, 12,199.95 and 8,192.61

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Solution

The fourth proportional to 8,857.76, 12,199.95 and 8,192.61 is: 11,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.76 : 12,199.95 = 8,192.61 : x
  2. Step 2: Convert to fraction form
    8,857.76/12,199.95 = 8,192.61/x
  3. Step 3: Cross multiply
    8,857.76x = 12,199.95 × 8,192.61
  4. Step 4: Simplify right side
    8,857.76x = 99,949,432.37
  5. Step 5: Solve for x
    x = 99,949,432.37/8,857.76
  6. Step 6: Final answer
    x = 11,283.83

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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.