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Finding the Fourth Proportional to 1,787.92, 2,667.32 and 1,497.22

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Solution

The fourth proportional to 1,787.92, 2,667.32 and 1,497.22 is: 2,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.92 : 2,667.32 = 1,497.22 : x
  2. Step 2: Convert to fraction form
    1,787.92/2,667.32 = 1,497.22/x
  3. Step 3: Cross multiply
    1,787.92x = 2,667.32 × 1,497.22
  4. Step 4: Simplify right side
    1,787.92x = 3,993,564.85
  5. Step 5: Solve for x
    x = 3,993,564.85/1,787.92
  6. Step 6: Final answer
    x = 2,233.64

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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.