Home / 2,118.06-3,177.84-947.96

Finding the Fourth Proportional to 2,118.06, 3,177.84 and 947.96

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Solution

The fourth proportional to 2,118.06, 3,177.84 and 947.96 is: 1,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.06 : 3,177.84 = 947.96 : x
  2. Step 2: Convert to fraction form
    2,118.06/3,177.84 = 947.96/x
  3. Step 3: Cross multiply
    2,118.06x = 3,177.84 × 947.96
  4. Step 4: Simplify right side
    2,118.06x = 3,012,465.21
  5. Step 5: Solve for x
    x = 3,012,465.21/2,118.06
  6. Step 6: Final answer
    x = 1,422.28

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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.