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Finding the Fourth Proportional to 2,492.70, 3,743.10 and 1,804.20

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Solution

The fourth proportional to 2,492.70, 3,743.10 and 1,804.20 is: 2,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.70 : 3,743.10 = 1,804.20 : x
  2. Step 2: Convert to fraction form
    2,492.70/3,743.10 = 1,804.20/x
  3. Step 3: Cross multiply
    2,492.70x = 3,743.10 × 1,804.20
  4. Step 4: Simplify right side
    2,492.70x = 6,753,301.02
  5. Step 5: Solve for x
    x = 6,753,301.02/2,492.70
  6. Step 6: Final answer
    x = 2,709.23

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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.