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Finding the Fourth Proportional to 3,608, 5,407.68 and 1,527.36

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Solution

The fourth proportional to 3,608, 5,407.68 and 1,527.36 is: 2,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608 : 5,407.68 = 1,527.36 : x
  2. Step 2: Convert to fraction form
    3,608/5,407.68 = 1,527.36/x
  3. Step 3: Cross multiply
    3,608x = 5,407.68 × 1,527.36
  4. Step 4: Simplify right side
    3,608x = 8,259,474.12
  5. Step 5: Solve for x
    x = 8,259,474.12/3,608
  6. Step 6: Final answer
    x = 2,289.21

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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.