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Finding the Fourth Proportional to 3,672.21, 5,509.13 and 1,075.17

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Solution

The fourth proportional to 3,672.21, 5,509.13 and 1,075.17 is: 1,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.21 : 5,509.13 = 1,075.17 : x
  2. Step 2: Convert to fraction form
    3,672.21/5,509.13 = 1,075.17/x
  3. Step 3: Cross multiply
    3,672.21x = 5,509.13 × 1,075.17
  4. Step 4: Simplify right side
    3,672.21x = 5,923,245.93
  5. Step 5: Solve for x
    x = 5,923,245.93/3,672.21
  6. Step 6: Final answer
    x = 1,612.99

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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.