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Finding the Fourth Proportional to 3,697.62, 5,543.19 and 1,388.58

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Solution

The fourth proportional to 3,697.62, 5,543.19 and 1,388.58 is: 2,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.62 : 5,543.19 = 1,388.58 : x
  2. Step 2: Convert to fraction form
    3,697.62/5,543.19 = 1,388.58/x
  3. Step 3: Cross multiply
    3,697.62x = 5,543.19 × 1,388.58
  4. Step 4: Simplify right side
    3,697.62x = 7,697,162.77
  5. Step 5: Solve for x
    x = 7,697,162.77/3,697.62
  6. Step 6: Final answer
    x = 2,081.65

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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.