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Finding the Fourth Proportional to 2,809.70, 4,211.12 and 1,988.21

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Solution

The fourth proportional to 2,809.70, 4,211.12 and 1,988.21 is: 2,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.70 : 4,211.12 = 1,988.21 : x
  2. Step 2: Convert to fraction form
    2,809.70/4,211.12 = 1,988.21/x
  3. Step 3: Cross multiply
    2,809.70x = 4,211.12 × 1,988.21
  4. Step 4: Simplify right side
    2,809.70x = 8,372,580.95
  5. Step 5: Solve for x
    x = 8,372,580.95/2,809.70
  6. Step 6: Final answer
    x = 2,979.88

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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.