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Finding the Fourth Proportional to 22,382.64, 30,885.90 and 12,310.92

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Solution

The fourth proportional to 22,382.64, 30,885.90 and 12,310.92 is: 16,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.64 : 30,885.90 = 12,310.92 : x
  2. Step 2: Convert to fraction form
    22,382.64/30,885.90 = 12,310.92/x
  3. Step 3: Cross multiply
    22,382.64x = 30,885.90 × 12,310.92
  4. Step 4: Simplify right side
    22,382.64x = 380,233,844.03
  5. Step 5: Solve for x
    x = 380,233,844.03/22,382.64
  6. Step 6: Final answer
    x = 16,987.89

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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.