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Finding the Fourth Proportional to 2,492.49, 3,740.07 and 1,107.21

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Solution

The fourth proportional to 2,492.49, 3,740.07 and 1,107.21 is: 1,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.49 : 3,740.07 = 1,107.21 : x
  2. Step 2: Convert to fraction form
    2,492.49/3,740.07 = 1,107.21/x
  3. Step 3: Cross multiply
    2,492.49x = 3,740.07 × 1,107.21
  4. Step 4: Simplify right side
    2,492.49x = 4,141,042.90
  5. Step 5: Solve for x
    x = 4,141,042.90/2,492.49
  6. Step 6: Final answer
    x = 1,661.41

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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.