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Finding the Fourth Proportional to 38,657.48, 57,982.56 and 12,355.16

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Solution

The fourth proportional to 38,657.48, 57,982.56 and 12,355.16 is: 18,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.48 : 57,982.56 = 12,355.16 : x
  2. Step 2: Convert to fraction form
    38,657.48/57,982.56 = 12,355.16/x
  3. Step 3: Cross multiply
    38,657.48x = 57,982.56 × 12,355.16
  4. Step 4: Simplify right side
    38,657.48x = 716,383,806.01
  5. Step 5: Solve for x
    x = 716,383,806.01/38,657.48
  6. Step 6: Final answer
    x = 18,531.57

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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.