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Finding the Fourth Proportional to 1,891.90, 2,838.56 and 851.59

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Solution

The fourth proportional to 1,891.90, 2,838.56 and 851.59 is: 1,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.90 : 2,838.56 = 851.59 : x
  2. Step 2: Convert to fraction form
    1,891.90/2,838.56 = 851.59/x
  3. Step 3: Cross multiply
    1,891.90x = 2,838.56 × 851.59
  4. Step 4: Simplify right side
    1,891.90x = 2,417,285.05
  5. Step 5: Solve for x
    x = 2,417,285.05/1,891.90
  6. Step 6: Final answer
    x = 1,277.70

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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.