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Finding the Fourth Proportional to 4,188, 6,282.24 and 1,110.24

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Solution

The fourth proportional to 4,188, 6,282.24 and 1,110.24 is: 1,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188 : 6,282.24 = 1,110.24 : x
  2. Step 2: Convert to fraction form
    4,188/6,282.24 = 1,110.24/x
  3. Step 3: Cross multiply
    4,188x = 6,282.24 × 1,110.24
  4. Step 4: Simplify right side
    4,188x = 6,974,794.14
  5. Step 5: Solve for x
    x = 6,974,794.14/4,188
  6. Step 6: Final answer
    x = 1,665.42

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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.