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Finding the Fourth Proportional to 14,585, 21,867.78 and 6,789.56

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Solution

The fourth proportional to 14,585, 21,867.78 and 6,789.56 is: 10,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585 : 21,867.78 = 6,789.56 : x
  2. Step 2: Convert to fraction form
    14,585/21,867.78 = 6,789.56/x
  3. Step 3: Cross multiply
    14,585x = 21,867.78 × 6,789.56
  4. Step 4: Simplify right side
    14,585x = 148,472,604.38
  5. Step 5: Solve for x
    x = 148,472,604.38/14,585
  6. Step 6: Final answer
    x = 10,179.82

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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.