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Finding the Fourth Proportional to 1,917.71, 2,876.55 and 821.36

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Solution

The fourth proportional to 1,917.71, 2,876.55 and 821.36 is: 1,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.71 : 2,876.55 = 821.36 : x
  2. Step 2: Convert to fraction form
    1,917.71/2,876.55 = 821.36/x
  3. Step 3: Cross multiply
    1,917.71x = 2,876.55 × 821.36
  4. Step 4: Simplify right side
    1,917.71x = 2,362,668.73
  5. Step 5: Solve for x
    x = 2,362,668.73/1,917.71
  6. Step 6: Final answer
    x = 1,232.03

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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.