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Finding the Fourth Proportional to 18,642.60, 27,964.54 and 6,329

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Solution

The fourth proportional to 18,642.60, 27,964.54 and 6,329 is: 9,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.60 : 27,964.54 = 6,329 : x
  2. Step 2: Convert to fraction form
    18,642.60/27,964.54 = 6,329/x
  3. Step 3: Cross multiply
    18,642.60x = 27,964.54 × 6,329
  4. Step 4: Simplify right side
    18,642.60x = 176,987,573.66
  5. Step 5: Solve for x
    x = 176,987,573.66/18,642.60
  6. Step 6: Final answer
    x = 9,493.72

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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.