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Finding the Fourth Proportional to 23,178.78, 34,773.12 and 9,327.78

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Solution

The fourth proportional to 23,178.78, 34,773.12 and 9,327.78 is: 13,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.78 : 34,773.12 = 9,327.78 : x
  2. Step 2: Convert to fraction form
    23,178.78/34,773.12 = 9,327.78/x
  3. Step 3: Cross multiply
    23,178.78x = 34,773.12 × 9,327.78
  4. Step 4: Simplify right side
    23,178.78x = 324,356,013.27
  5. Step 5: Solve for x
    x = 324,356,013.27/23,178.78
  6. Step 6: Final answer
    x = 13,993.66

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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.