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Finding the Fourth Proportional to 38,225, 52,750.68 and 21,458

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Solution

The fourth proportional to 38,225, 52,750.68 and 21,458 is: 29,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,225 : 52,750.68 = 21,458 : x
  2. Step 2: Convert to fraction form
    38,225/52,750.68 = 21,458/x
  3. Step 3: Cross multiply
    38,225x = 52,750.68 × 21,458
  4. Step 4: Simplify right side
    38,225x = 1,131,924,091.44
  5. Step 5: Solve for x
    x = 1,131,924,091.44/38,225
  6. Step 6: Final answer
    x = 29,612.14

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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.