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Finding the Fourth Proportional to 1,990.80, 3,001.11 and 1,857.00

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Solution

The fourth proportional to 1,990.80, 3,001.11 and 1,857.00 is: 2,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.80 : 3,001.11 = 1,857.00 : x
  2. Step 2: Convert to fraction form
    1,990.80/3,001.11 = 1,857.00/x
  3. Step 3: Cross multiply
    1,990.80x = 3,001.11 × 1,857.00
  4. Step 4: Simplify right side
    1,990.80x = 5,573,048.68
  5. Step 5: Solve for x
    x = 5,573,048.68/1,990.80
  6. Step 6: Final answer
    x = 2,799.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.