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Finding the Fourth Proportional to 1,813.49, 2,504.66 and 1,223

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Solution

The fourth proportional to 1,813.49, 2,504.66 and 1,223 is: 1,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.49 : 2,504.66 = 1,223 : x
  2. Step 2: Convert to fraction form
    1,813.49/2,504.66 = 1,223/x
  3. Step 3: Cross multiply
    1,813.49x = 2,504.66 × 1,223
  4. Step 4: Simplify right side
    1,813.49x = 3,063,199.18
  5. Step 5: Solve for x
    x = 3,063,199.18/1,813.49
  6. Step 6: Final answer
    x = 1,689.12

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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.