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Finding the Fourth Proportional to 3,217.84, 4,826.85 and 909.34

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Solution

The fourth proportional to 3,217.84, 4,826.85 and 909.34 is: 1,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.84 : 4,826.85 = 909.34 : x
  2. Step 2: Convert to fraction form
    3,217.84/4,826.85 = 909.34/x
  3. Step 3: Cross multiply
    3,217.84x = 4,826.85 × 909.34
  4. Step 4: Simplify right side
    3,217.84x = 4,389,247.78
  5. Step 5: Solve for x
    x = 4,389,247.78/3,217.84
  6. Step 6: Final answer
    x = 1,364.04

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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.