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Finding the Fourth Proportional to 38,419.20, 57,628.80 and 22,828.80

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Solution

The fourth proportional to 38,419.20, 57,628.80 and 22,828.80 is: 34,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.20 : 57,628.80 = 22,828.80 : x
  2. Step 2: Convert to fraction form
    38,419.20/57,628.80 = 22,828.80/x
  3. Step 3: Cross multiply
    38,419.20x = 57,628.80 × 22,828.80
  4. Step 4: Simplify right side
    38,419.20x = 1,315,596,349.44
  5. Step 5: Solve for x
    x = 1,315,596,349.44/38,419.20
  6. Step 6: Final answer
    x = 34,243.20

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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.