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Finding the Fourth Proportional to 22,378.64, 30,881.32 and 12,442

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Solution

The fourth proportional to 22,378.64, 30,881.32 and 12,442 is: 17,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.64 : 30,881.32 = 12,442 : x
  2. Step 2: Convert to fraction form
    22,378.64/30,881.32 = 12,442/x
  3. Step 3: Cross multiply
    22,378.64x = 30,881.32 × 12,442
  4. Step 4: Simplify right side
    22,378.64x = 384,225,383.44
  5. Step 5: Solve for x
    x = 384,225,383.44/22,378.64
  6. Step 6: Final answer
    x = 17,169.29

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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.