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Finding the Fourth Proportional to 4,005, 5,523.85 and 3,446.40

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Solution

The fourth proportional to 4,005, 5,523.85 and 3,446.40 is: 4,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005 : 5,523.85 = 3,446.40 : x
  2. Step 2: Convert to fraction form
    4,005/5,523.85 = 3,446.40/x
  3. Step 3: Cross multiply
    4,005x = 5,523.85 × 3,446.40
  4. Step 4: Simplify right side
    4,005x = 19,037,396.64
  5. Step 5: Solve for x
    x = 19,037,396.64/4,005
  6. Step 6: Final answer
    x = 4,753.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.