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Finding the Fourth Proportional to 2,118.85, 3,178.38 and 657.97

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Solution

The fourth proportional to 2,118.85, 3,178.38 and 657.97 is: 986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.85 : 3,178.38 = 657.97 : x
  2. Step 2: Convert to fraction form
    2,118.85/3,178.38 = 657.97/x
  3. Step 3: Cross multiply
    2,118.85x = 3,178.38 × 657.97
  4. Step 4: Simplify right side
    2,118.85x = 2,091,278.69
  5. Step 5: Solve for x
    x = 2,091,278.69/2,118.85
  6. Step 6: Final answer
    x = 986.99

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1.5x scale

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.