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Finding the Fourth Proportional to 3,595, 5,390.88 and 1,403.68

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Solution

The fourth proportional to 3,595, 5,390.88 and 1,403.68 is: 2,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595 : 5,390.88 = 1,403.68 : x
  2. Step 2: Convert to fraction form
    3,595/5,390.88 = 1,403.68/x
  3. Step 3: Cross multiply
    3,595x = 5,390.88 × 1,403.68
  4. Step 4: Simplify right side
    3,595x = 7,567,070.44
  5. Step 5: Solve for x
    x = 7,567,070.44/3,595
  6. Step 6: Final answer
    x = 2,104.89

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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.