Home / 1,917.40-2,877.69-822.52

Finding the Fourth Proportional to 1,917.40, 2,877.69 and 822.52

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Solution

The fourth proportional to 1,917.40, 2,877.69 and 822.52 is: 1,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.40 : 2,877.69 = 822.52 : x
  2. Step 2: Convert to fraction form
    1,917.40/2,877.69 = 822.52/x
  3. Step 3: Cross multiply
    1,917.40x = 2,877.69 × 822.52
  4. Step 4: Simplify right side
    1,917.40x = 2,366,957.58
  5. Step 5: Solve for x
    x = 2,366,957.58/1,917.40
  6. Step 6: Final answer
    x = 1,234.46

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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.