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Finding the Fourth Proportional to 3,805.80, 5,708.58 and 2,256.42

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Solution

The fourth proportional to 3,805.80, 5,708.58 and 2,256.42 is: 3,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.80 : 5,708.58 = 2,256.42 : x
  2. Step 2: Convert to fraction form
    3,805.80/5,708.58 = 2,256.42/x
  3. Step 3: Cross multiply
    3,805.80x = 5,708.58 × 2,256.42
  4. Step 4: Simplify right side
    3,805.80x = 12,880,954.08
  5. Step 5: Solve for x
    x = 12,880,954.08/3,805.80
  6. Step 6: Final answer
    x = 3,384.56

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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.