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Finding the Fourth Proportional to 2,120, 3,177.84 and 888.08

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Solution

The fourth proportional to 2,120, 3,177.84 and 888.08 is: 1,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 3,177.84 = 888.08 : x
  2. Step 2: Convert to fraction form
    2,120/3,177.84 = 888.08/x
  3. Step 3: Cross multiply
    2,120x = 3,177.84 × 888.08
  4. Step 4: Simplify right side
    2,120x = 2,822,176.15
  5. Step 5: Solve for x
    x = 2,822,176.15/2,120
  6. Step 6: Final answer
    x = 1,331.22

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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.