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Finding the Fourth Proportional to 6,161.74, 9,242.46 and 1,719.29

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Solution

The fourth proportional to 6,161.74, 9,242.46 and 1,719.29 is: 2,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.74 : 9,242.46 = 1,719.29 : x
  2. Step 2: Convert to fraction form
    6,161.74/9,242.46 = 1,719.29/x
  3. Step 3: Cross multiply
    6,161.74x = 9,242.46 × 1,719.29
  4. Step 4: Simplify right side
    6,161.74x = 15,890,427.14
  5. Step 5: Solve for x
    x = 15,890,427.14/6,161.74
  6. Step 6: Final answer
    x = 2,578.89

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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.