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Finding the Fourth Proportional to 2,084.40, 3,123.40 and 1,809.20

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Solution

The fourth proportional to 2,084.40, 3,123.40 and 1,809.20 is: 2,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.40 : 3,123.40 = 1,809.20 : x
  2. Step 2: Convert to fraction form
    2,084.40/3,123.40 = 1,809.20/x
  3. Step 3: Cross multiply
    2,084.40x = 3,123.40 × 1,809.20
  4. Step 4: Simplify right side
    2,084.40x = 5,650,855.28
  5. Step 5: Solve for x
    x = 5,650,855.28/2,084.40
  6. Step 6: Final answer
    x = 2,711.02

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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.