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Finding the Fourth Proportional to 2,658.52, 3,986.34 and 809.08

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Solution

The fourth proportional to 2,658.52, 3,986.34 and 809.08 is: 1,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.52 : 3,986.34 = 809.08 : x
  2. Step 2: Convert to fraction form
    2,658.52/3,986.34 = 809.08/x
  3. Step 3: Cross multiply
    2,658.52x = 3,986.34 × 809.08
  4. Step 4: Simplify right side
    2,658.52x = 3,225,267.97
  5. Step 5: Solve for x
    x = 3,225,267.97/2,658.52
  6. Step 6: Final answer
    x = 1,213.18

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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.