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Finding the Fourth Proportional to 3,602, 5,395.20 and 1,749.24

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Solution

The fourth proportional to 3,602, 5,395.20 and 1,749.24 is: 2,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602 : 5,395.20 = 1,749.24 : x
  2. Step 2: Convert to fraction form
    3,602/5,395.20 = 1,749.24/x
  3. Step 3: Cross multiply
    3,602x = 5,395.20 × 1,749.24
  4. Step 4: Simplify right side
    3,602x = 9,437,499.65
  5. Step 5: Solve for x
    x = 9,437,499.65/3,602
  6. Step 6: Final answer
    x = 2,620.07

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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.