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Finding the Fourth Proportional to 3,603, 5,406.60 and 1,522.88

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Solution

The fourth proportional to 3,603, 5,406.60 and 1,522.88 is: 2,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603 : 5,406.60 = 1,522.88 : x
  2. Step 2: Convert to fraction form
    3,603/5,406.60 = 1,522.88/x
  3. Step 3: Cross multiply
    3,603x = 5,406.60 × 1,522.88
  4. Step 4: Simplify right side
    3,603x = 8,233,603.01
  5. Step 5: Solve for x
    x = 8,233,603.01/3,603
  6. Step 6: Final answer
    x = 2,285.21

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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.