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Finding the Fourth Proportional to 3,720.81, 5,581.42 and 1,123.68

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Solution

The fourth proportional to 3,720.81, 5,581.42 and 1,123.68 is: 1,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.81 : 5,581.42 = 1,123.68 : x
  2. Step 2: Convert to fraction form
    3,720.81/5,581.42 = 1,123.68/x
  3. Step 3: Cross multiply
    3,720.81x = 5,581.42 × 1,123.68
  4. Step 4: Simplify right side
    3,720.81x = 6,271,724.41
  5. Step 5: Solve for x
    x = 6,271,724.41/3,720.81
  6. Step 6: Final answer
    x = 1,685.58

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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.