Home / 1,417.19-1,955.87-827.78

Finding the Fourth Proportional to 1,417.19, 1,955.87 and 827.78

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Solution

The fourth proportional to 1,417.19, 1,955.87 and 827.78 is: 1,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.19 : 1,955.87 = 827.78 : x
  2. Step 2: Convert to fraction form
    1,417.19/1,955.87 = 827.78/x
  3. Step 3: Cross multiply
    1,417.19x = 1,955.87 × 827.78
  4. Step 4: Simplify right side
    1,417.19x = 1,619,033.92
  5. Step 5: Solve for x
    x = 1,619,033.92/1,417.19
  6. Step 6: Final answer
    x = 1,142.42

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1.5x scale

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.