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Finding the Fourth Proportional to 3,808.70, 5,704.78 and 3,715.78

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Solution

The fourth proportional to 3,808.70, 5,704.78 and 3,715.78 is: 5,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.70 : 5,704.78 = 3,715.78 : x
  2. Step 2: Convert to fraction form
    3,808.70/5,704.78 = 3,715.78/x
  3. Step 3: Cross multiply
    3,808.70x = 5,704.78 × 3,715.78
  4. Step 4: Simplify right side
    3,808.70x = 21,197,707.43
  5. Step 5: Solve for x
    x = 21,197,707.43/3,808.70
  6. Step 6: Final answer
    x = 5,565.60

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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.