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Finding the Fourth Proportional to 38,113.70, 57,176.61 and 11,813

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Solution

The fourth proportional to 38,113.70, 57,176.61 and 11,813 is: 17,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113.70 : 57,176.61 = 11,813 : x
  2. Step 2: Convert to fraction form
    38,113.70/57,176.61 = 11,813/x
  3. Step 3: Cross multiply
    38,113.70x = 57,176.61 × 11,813
  4. Step 4: Simplify right side
    38,113.70x = 675,427,293.93
  5. Step 5: Solve for x
    x = 675,427,293.93/38,113.70
  6. Step 6: Final answer
    x = 17,721.38

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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.