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Finding the Fourth Proportional to 38,544.72, 57,816.78 and 19,830

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Solution

The fourth proportional to 38,544.72, 57,816.78 and 19,830 is: 29,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.72 : 57,816.78 = 19,830 : x
  2. Step 2: Convert to fraction form
    38,544.72/57,816.78 = 19,830/x
  3. Step 3: Cross multiply
    38,544.72x = 57,816.78 × 19,830
  4. Step 4: Simplify right side
    38,544.72x = 1,146,506,747.40
  5. Step 5: Solve for x
    x = 1,146,506,747.40/38,544.72
  6. Step 6: Final answer
    x = 29,744.85

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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.