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Finding the Fourth Proportional to 1,363.84, 2,035.29 and 1,218.04

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Solution

The fourth proportional to 1,363.84, 2,035.29 and 1,218.04 is: 1,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.84 : 2,035.29 = 1,218.04 : x
  2. Step 2: Convert to fraction form
    1,363.84/2,035.29 = 1,218.04/x
  3. Step 3: Cross multiply
    1,363.84x = 2,035.29 × 1,218.04
  4. Step 4: Simplify right side
    1,363.84x = 2,479,064.63
  5. Step 5: Solve for x
    x = 2,479,064.63/1,363.84
  6. Step 6: Final answer
    x = 1,817.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.