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Finding the Fourth Proportional to 38,180, 57,271.08 and 10,478

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Solution

The fourth proportional to 38,180, 57,271.08 and 10,478 is: 15,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180 : 57,271.08 = 10,478 : x
  2. Step 2: Convert to fraction form
    38,180/57,271.08 = 10,478/x
  3. Step 3: Cross multiply
    38,180x = 57,271.08 × 10,478
  4. Step 4: Simplify right side
    38,180x = 600,086,376.24
  5. Step 5: Solve for x
    x = 600,086,376.24/38,180
  6. Step 6: Final answer
    x = 15,717.30

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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.