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Finding the Fourth Proportional to 5,149.80, 7,717.93 and 2,929.65

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Solution

The fourth proportional to 5,149.80, 7,717.93 and 2,929.65 is: 4,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.80 : 7,717.93 = 2,929.65 : x
  2. Step 2: Convert to fraction form
    5,149.80/7,717.93 = 2,929.65/x
  3. Step 3: Cross multiply
    5,149.80x = 7,717.93 × 2,929.65
  4. Step 4: Simplify right side
    5,149.80x = 22,610,795.03
  5. Step 5: Solve for x
    x = 22,610,795.03/5,149.80
  6. Step 6: Final answer
    x = 4,390.62

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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.