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Finding the Fourth Proportional to 1,787.87, 2,461.84 and 1,585.80

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Solution

The fourth proportional to 1,787.87, 2,461.84 and 1,585.80 is: 2,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.87 : 2,461.84 = 1,585.80 : x
  2. Step 2: Convert to fraction form
    1,787.87/2,461.84 = 1,585.80/x
  3. Step 3: Cross multiply
    1,787.87x = 2,461.84 × 1,585.80
  4. Step 4: Simplify right side
    1,787.87x = 3,903,981.91
  5. Step 5: Solve for x
    x = 3,903,981.91/1,787.87
  6. Step 6: Final answer
    x = 2,183.59

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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.