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Finding the Fourth Proportional to 2,141.80, 2,970.80 and 2,084.90

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Solution

The fourth proportional to 2,141.80, 2,970.80 and 2,084.90 is: 2,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.80 : 2,970.80 = 2,084.90 : x
  2. Step 2: Convert to fraction form
    2,141.80/2,970.80 = 2,084.90/x
  3. Step 3: Cross multiply
    2,141.80x = 2,970.80 × 2,084.90
  4. Step 4: Simplify right side
    2,141.80x = 6,193,820.92
  5. Step 5: Solve for x
    x = 6,193,820.92/2,141.80
  6. Step 6: Final answer
    x = 2,891.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.