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Finding the Fourth Proportional to 38,457.80, 57,654.70 and 16,288.20

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Solution

The fourth proportional to 38,457.80, 57,654.70 and 16,288.20 is: 24,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.80 : 57,654.70 = 16,288.20 : x
  2. Step 2: Convert to fraction form
    38,457.80/57,654.70 = 16,288.20/x
  3. Step 3: Cross multiply
    38,457.80x = 57,654.70 × 16,288.20
  4. Step 4: Simplify right side
    38,457.80x = 939,091,284.54
  5. Step 5: Solve for x
    x = 939,091,284.54/38,457.80
  6. Step 6: Final answer
    x = 24,418.75

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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.