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Finding the Fourth Proportional to 4,789.65, 7,184.64 and 1,326.61

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Solution

The fourth proportional to 4,789.65, 7,184.64 and 1,326.61 is: 1,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.65 : 7,184.64 = 1,326.61 : x
  2. Step 2: Convert to fraction form
    4,789.65/7,184.64 = 1,326.61/x
  3. Step 3: Cross multiply
    4,789.65x = 7,184.64 × 1,326.61
  4. Step 4: Simplify right side
    4,789.65x = 9,531,215.27
  5. Step 5: Solve for x
    x = 9,531,215.27/4,789.65
  6. Step 6: Final answer
    x = 1,989.96

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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.