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Finding the Fourth Proportional to 38,306.10, 57,464.55 and 12,008.10

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Solution

The fourth proportional to 38,306.10, 57,464.55 and 12,008.10 is: 18,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,306.10 : 57,464.55 = 12,008.10 : x
  2. Step 2: Convert to fraction form
    38,306.10/57,464.55 = 12,008.10/x
  3. Step 3: Cross multiply
    38,306.10x = 57,464.55 × 12,008.10
  4. Step 4: Simplify right side
    38,306.10x = 690,040,062.86
  5. Step 5: Solve for x
    x = 690,040,062.86/38,306.10
  6. Step 6: Final answer
    x = 18,013.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.