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Finding the Fourth Proportional to 3,324.34, 4,986.42 and 859.15

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Solution

The fourth proportional to 3,324.34, 4,986.42 and 859.15 is: 1,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.34 : 4,986.42 = 859.15 : x
  2. Step 2: Convert to fraction form
    3,324.34/4,986.42 = 859.15/x
  3. Step 3: Cross multiply
    3,324.34x = 4,986.42 × 859.15
  4. Step 4: Simplify right side
    3,324.34x = 4,284,082.74
  5. Step 5: Solve for x
    x = 4,284,082.74/3,324.34
  6. Step 6: Final answer
    x = 1,288.70

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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.