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Finding the Fourth Proportional to 1,859.46, 2,787.17 and 1,166.64

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Solution

The fourth proportional to 1,859.46, 2,787.17 and 1,166.64 is: 1,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.46 : 2,787.17 = 1,166.64 : x
  2. Step 2: Convert to fraction form
    1,859.46/2,787.17 = 1,166.64/x
  3. Step 3: Cross multiply
    1,859.46x = 2,787.17 × 1,166.64
  4. Step 4: Simplify right side
    1,859.46x = 3,251,618.18
  5. Step 5: Solve for x
    x = 3,251,618.18/1,859.46
  6. Step 6: Final answer
    x = 1,748.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.