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Finding the Fourth Proportional to 3,491.67, 5,237.56 and 859.18

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Solution

The fourth proportional to 3,491.67, 5,237.56 and 859.18 is: 1,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.67 : 5,237.56 = 859.18 : x
  2. Step 2: Convert to fraction form
    3,491.67/5,237.56 = 859.18/x
  3. Step 3: Cross multiply
    3,491.67x = 5,237.56 × 859.18
  4. Step 4: Simplify right side
    3,491.67x = 4,499,989.95
  5. Step 5: Solve for x
    x = 4,499,989.95/3,491.67
  6. Step 6: Final answer
    x = 1,288.78

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1.5x scale

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.