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Finding the Fourth Proportional to 3,888.24, 5,834.78 and 1,697

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Solution

The fourth proportional to 3,888.24, 5,834.78 and 1,697 is: 2,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.24 : 5,834.78 = 1,697 : x
  2. Step 2: Convert to fraction form
    3,888.24/5,834.78 = 1,697/x
  3. Step 3: Cross multiply
    3,888.24x = 5,834.78 × 1,697
  4. Step 4: Simplify right side
    3,888.24x = 9,901,621.66
  5. Step 5: Solve for x
    x = 9,901,621.66/3,888.24
  6. Step 6: Final answer
    x = 2,546.56

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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.