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Finding the Fourth Proportional to 1,806.50, 2,492.23 and 1,217.23

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Solution

The fourth proportional to 1,806.50, 2,492.23 and 1,217.23 is: 1,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.50 : 2,492.23 = 1,217.23 : x
  2. Step 2: Convert to fraction form
    1,806.50/2,492.23 = 1,217.23/x
  3. Step 3: Cross multiply
    1,806.50x = 2,492.23 × 1,217.23
  4. Step 4: Simplify right side
    1,806.50x = 3,033,617.12
  5. Step 5: Solve for x
    x = 3,033,617.12/1,806.50
  6. Step 6: Final answer
    x = 1,679.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.