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Finding the Fourth Proportional to 3,581.64, 5,373.23 and 1,390.37

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Solution

The fourth proportional to 3,581.64, 5,373.23 and 1,390.37 is: 2,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.64 : 5,373.23 = 1,390.37 : x
  2. Step 2: Convert to fraction form
    3,581.64/5,373.23 = 1,390.37/x
  3. Step 3: Cross multiply
    3,581.64x = 5,373.23 × 1,390.37
  4. Step 4: Simplify right side
    3,581.64x = 7,470,765.62
  5. Step 5: Solve for x
    x = 7,470,765.62/3,581.64
  6. Step 6: Final answer
    x = 2,085.85

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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.