Home / 1,517.77-2,094.57-827.15

Finding the Fourth Proportional to 1,517.77, 2,094.57 and 827.15

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Solution

The fourth proportional to 1,517.77, 2,094.57 and 827.15 is: 1,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.77 : 2,094.57 = 827.15 : x
  2. Step 2: Convert to fraction form
    1,517.77/2,094.57 = 827.15/x
  3. Step 3: Cross multiply
    1,517.77x = 2,094.57 × 827.15
  4. Step 4: Simplify right side
    1,517.77x = 1,732,528.45
  5. Step 5: Solve for x
    x = 1,732,528.45/1,517.77
  6. Step 6: Final answer
    x = 1,141.50

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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.