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Finding the Fourth Proportional to 5,159.75, 7,742.81 and 2,039.23

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Solution

The fourth proportional to 5,159.75, 7,742.81 and 2,039.23 is: 3,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.75 : 7,742.81 = 2,039.23 : x
  2. Step 2: Convert to fraction form
    5,159.75/7,742.81 = 2,039.23/x
  3. Step 3: Cross multiply
    5,159.75x = 7,742.81 × 2,039.23
  4. Step 4: Simplify right side
    5,159.75x = 15,789,356.18
  5. Step 5: Solve for x
    x = 15,789,356.18/5,159.75
  6. Step 6: Final answer
    x = 3,060.10

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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.