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Finding the Fourth Proportional to 3,660, 5,490 and 3,475.44

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Solution

The fourth proportional to 3,660, 5,490 and 3,475.44 is: 5,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 5,490 = 3,475.44 : x
  2. Step 2: Convert to fraction form
    3,660/5,490 = 3,475.44/x
  3. Step 3: Cross multiply
    3,660x = 5,490 × 3,475.44
  4. Step 4: Simplify right side
    3,660x = 19,080,165.60
  5. Step 5: Solve for x
    x = 19,080,165.60/3,660
  6. Step 6: Final answer
    x = 5,213.16

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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.