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Finding the Fourth Proportional to 18,565.19, 27,826.55 and 7,464.78

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Solution

The fourth proportional to 18,565.19, 27,826.55 and 7,464.78 is: 11,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.19 : 27,826.55 = 7,464.78 : x
  2. Step 2: Convert to fraction form
    18,565.19/27,826.55 = 7,464.78/x
  3. Step 3: Cross multiply
    18,565.19x = 27,826.55 × 7,464.78
  4. Step 4: Simplify right side
    18,565.19x = 207,719,073.91
  5. Step 5: Solve for x
    x = 207,719,073.91/18,565.19
  6. Step 6: Final answer
    x = 11,188.63

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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.