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Finding the Fourth Proportional to 3,109.65, 4,656.53 and 1,721.45

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Solution

The fourth proportional to 3,109.65, 4,656.53 and 1,721.45 is: 2,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.65 : 4,656.53 = 1,721.45 : x
  2. Step 2: Convert to fraction form
    3,109.65/4,656.53 = 1,721.45/x
  3. Step 3: Cross multiply
    3,109.65x = 4,656.53 × 1,721.45
  4. Step 4: Simplify right side
    3,109.65x = 8,015,983.57
  5. Step 5: Solve for x
    x = 8,015,983.57/3,109.65
  6. Step 6: Final answer
    x = 2,577.78

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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.