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Finding the Fourth Proportional to 3,598.88, 5,396 and 2,906.40

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Solution

The fourth proportional to 3,598.88, 5,396 and 2,906.40 is: 4,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.88 : 5,396 = 2,906.40 : x
  2. Step 2: Convert to fraction form
    3,598.88/5,396 = 2,906.40/x
  3. Step 3: Cross multiply
    3,598.88x = 5,396 × 2,906.40
  4. Step 4: Simplify right side
    3,598.88x = 15,682,934.40
  5. Step 5: Solve for x
    x = 15,682,934.40/3,598.88
  6. Step 6: Final answer
    x = 4,357.73

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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.