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Finding the Fourth Proportional to 5,713.05, 7,905.57 and 4,872.42

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Solution

The fourth proportional to 5,713.05, 7,905.57 and 4,872.42 is: 6,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.05 : 7,905.57 = 4,872.42 : x
  2. Step 2: Convert to fraction form
    5,713.05/7,905.57 = 4,872.42/x
  3. Step 3: Cross multiply
    5,713.05x = 7,905.57 × 4,872.42
  4. Step 4: Simplify right side
    5,713.05x = 38,519,257.38
  5. Step 5: Solve for x
    x = 38,519,257.38/5,713.05
  6. Step 6: Final answer
    x = 6,742.33

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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.