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Finding the Fourth Proportional to 38,412, 57,627.72 and 10,710

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Solution

The fourth proportional to 38,412, 57,627.72 and 10,710 is: 16,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412 : 57,627.72 = 10,710 : x
  2. Step 2: Convert to fraction form
    38,412/57,627.72 = 10,710/x
  3. Step 3: Cross multiply
    38,412x = 57,627.72 × 10,710
  4. Step 4: Simplify right side
    38,412x = 617,192,881.20
  5. Step 5: Solve for x
    x = 617,192,881.20/38,412
  6. Step 6: Final answer
    x = 16,067.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.