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Finding the Fourth Proportional to 3,217.88, 4,827.23 and 909.38

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Solution

The fourth proportional to 3,217.88, 4,827.23 and 909.38 is: 1,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.88 : 4,827.23 = 909.38 : x
  2. Step 2: Convert to fraction form
    3,217.88/4,827.23 = 909.38/x
  3. Step 3: Cross multiply
    3,217.88x = 4,827.23 × 909.38
  4. Step 4: Simplify right side
    3,217.88x = 4,389,757.73
  5. Step 5: Solve for x
    x = 4,389,757.73/3,217.88
  6. Step 6: Final answer
    x = 1,364.18

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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.