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Finding the Fourth Proportional to 1,787.84, 2,669.53 and 1,601.54

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Solution

The fourth proportional to 1,787.84, 2,669.53 and 1,601.54 is: 2,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.84 : 2,669.53 = 1,601.54 : x
  2. Step 2: Convert to fraction form
    1,787.84/2,669.53 = 1,601.54/x
  3. Step 3: Cross multiply
    1,787.84x = 2,669.53 × 1,601.54
  4. Step 4: Simplify right side
    1,787.84x = 4,275,359.08
  5. Step 5: Solve for x
    x = 4,275,359.08/1,787.84
  6. Step 6: Final answer
    x = 2,391.35

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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.