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Finding the Fourth Proportional to 38,015.20, 57,022.80 and 15,821.20

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Solution

The fourth proportional to 38,015.20, 57,022.80 and 15,821.20 is: 23,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,015.20 : 57,022.80 = 15,821.20 : x
  2. Step 2: Convert to fraction form
    38,015.20/57,022.80 = 15,821.20/x
  3. Step 3: Cross multiply
    38,015.20x = 57,022.80 × 15,821.20
  4. Step 4: Simplify right side
    38,015.20x = 902,169,123.36
  5. Step 5: Solve for x
    x = 902,169,123.36/38,015.20
  6. Step 6: Final answer
    x = 23,731.80

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1.5x scale

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.