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Finding the Fourth Proportional to 3,089.75, 4,634.62 and 898.70

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Solution

The fourth proportional to 3,089.75, 4,634.62 and 898.70 is: 1,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.75 : 4,634.62 = 898.70 : x
  2. Step 2: Convert to fraction form
    3,089.75/4,634.62 = 898.70/x
  3. Step 3: Cross multiply
    3,089.75x = 4,634.62 × 898.70
  4. Step 4: Simplify right side
    3,089.75x = 4,165,107.57
  5. Step 5: Solve for x
    x = 4,165,107.57/3,089.75
  6. Step 6: Final answer
    x = 1,348.04

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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.