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Finding the Fourth Proportional to 3,872.81, 5,809.53 and 2,323.39

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Solution

The fourth proportional to 3,872.81, 5,809.53 and 2,323.39 is: 3,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.81 : 5,809.53 = 2,323.39 : x
  2. Step 2: Convert to fraction form
    3,872.81/5,809.53 = 2,323.39/x
  3. Step 3: Cross multiply
    3,872.81x = 5,809.53 × 2,323.39
  4. Step 4: Simplify right side
    3,872.81x = 13,497,803.91
  5. Step 5: Solve for x
    x = 13,497,803.91/3,872.81
  6. Step 6: Final answer
    x = 3,485.27

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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.