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Finding the Fourth Proportional to 2,118.48, 3,178.97 and 885.80

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Solution

The fourth proportional to 2,118.48, 3,178.97 and 885.80 is: 1,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.48 : 3,178.97 = 885.80 : x
  2. Step 2: Convert to fraction form
    2,118.48/3,178.97 = 885.80/x
  3. Step 3: Cross multiply
    2,118.48x = 3,178.97 × 885.80
  4. Step 4: Simplify right side
    2,118.48x = 2,815,911.30
  5. Step 5: Solve for x
    x = 2,815,911.30/2,118.48
  6. Step 6: Final answer
    x = 1,329.21

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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.