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Finding the Fourth Proportional to 2,218.73, 3,061.81 and 1,224

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Solution

The fourth proportional to 2,218.73, 3,061.81 and 1,224 is: 1,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.73 : 3,061.81 = 1,224 : x
  2. Step 2: Convert to fraction form
    2,218.73/3,061.81 = 1,224/x
  3. Step 3: Cross multiply
    2,218.73x = 3,061.81 × 1,224
  4. Step 4: Simplify right side
    2,218.73x = 3,747,655.44
  5. Step 5: Solve for x
    x = 3,747,655.44/2,218.73
  6. Step 6: Final answer
    x = 1,689.10

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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.