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Finding the Fourth Proportional to 5,633.64, 7,775.10 and 3,396.78

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Solution

The fourth proportional to 5,633.64, 7,775.10 and 3,396.78 is: 4,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.64 : 7,775.10 = 3,396.78 : x
  2. Step 2: Convert to fraction form
    5,633.64/7,775.10 = 3,396.78/x
  3. Step 3: Cross multiply
    5,633.64x = 7,775.10 × 3,396.78
  4. Step 4: Simplify right side
    5,633.64x = 26,410,304.18
  5. Step 5: Solve for x
    x = 26,410,304.18/5,633.64
  6. Step 6: Final answer
    x = 4,687.96

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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.