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Finding the Fourth Proportional to 3,885.62, 5,828.36 and 963.95

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Solution

The fourth proportional to 3,885.62, 5,828.36 and 963.95 is: 1,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.62 : 5,828.36 = 963.95 : x
  2. Step 2: Convert to fraction form
    3,885.62/5,828.36 = 963.95/x
  3. Step 3: Cross multiply
    3,885.62x = 5,828.36 × 963.95
  4. Step 4: Simplify right side
    3,885.62x = 5,618,220.89
  5. Step 5: Solve for x
    x = 5,618,220.89/3,885.62
  6. Step 6: Final answer
    x = 1,445.90

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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.