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Finding the Fourth Proportional to 3,803.82, 5,706.30 and 1,170.78

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Solution

The fourth proportional to 3,803.82, 5,706.30 and 1,170.78 is: 1,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.82 : 5,706.30 = 1,170.78 : x
  2. Step 2: Convert to fraction form
    3,803.82/5,706.30 = 1,170.78/x
  3. Step 3: Cross multiply
    3,803.82x = 5,706.30 × 1,170.78
  4. Step 4: Simplify right side
    3,803.82x = 6,680,821.91
  5. Step 5: Solve for x
    x = 6,680,821.91/3,803.82
  6. Step 6: Final answer
    x = 1,756.35

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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.