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Finding the Fourth Proportional to 3,603, 5,400.48 and 1,522.38

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Solution

The fourth proportional to 3,603, 5,400.48 and 1,522.38 is: 2,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603 : 5,400.48 = 1,522.38 : x
  2. Step 2: Convert to fraction form
    3,603/5,400.48 = 1,522.38/x
  3. Step 3: Cross multiply
    3,603x = 5,400.48 × 1,522.38
  4. Step 4: Simplify right side
    3,603x = 8,221,582.74
  5. Step 5: Solve for x
    x = 8,221,582.74/3,603
  6. Step 6: Final answer
    x = 2,281.87

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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.