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Finding the Fourth Proportional to 3,591.48, 5,386 and 1,400.84

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Solution

The fourth proportional to 3,591.48, 5,386 and 1,400.84 is: 2,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.48 : 5,386 = 1,400.84 : x
  2. Step 2: Convert to fraction form
    3,591.48/5,386 = 1,400.84/x
  3. Step 3: Cross multiply
    3,591.48x = 5,386 × 1,400.84
  4. Step 4: Simplify right side
    3,591.48x = 7,544,924.24
  5. Step 5: Solve for x
    x = 7,544,924.24/3,591.48
  6. Step 6: Final answer
    x = 2,100.78

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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.