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Finding the Fourth Proportional to 2,179, 3,009.50 and 1,479.16

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Solution

The fourth proportional to 2,179, 3,009.50 and 1,479.16 is: 2,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179 : 3,009.50 = 1,479.16 : x
  2. Step 2: Convert to fraction form
    2,179/3,009.50 = 1,479.16/x
  3. Step 3: Cross multiply
    2,179x = 3,009.50 × 1,479.16
  4. Step 4: Simplify right side
    2,179x = 4,451,524.62
  5. Step 5: Solve for x
    x = 4,451,524.62/2,179
  6. Step 6: Final answer
    x = 2,042.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.