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Finding the Fourth Proportional to 22,381.75, 30,886.82 and 12,445.75

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Solution

The fourth proportional to 22,381.75, 30,886.82 and 12,445.75 is: 17,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.75 : 30,886.82 = 12,445.75 : x
  2. Step 2: Convert to fraction form
    22,381.75/30,886.82 = 12,445.75/x
  3. Step 3: Cross multiply
    22,381.75x = 30,886.82 × 12,445.75
  4. Step 4: Simplify right side
    22,381.75x = 384,409,640.02
  5. Step 5: Solve for x
    x = 384,409,640.02/22,381.75
  6. Step 6: Final answer
    x = 17,175.14

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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.