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Finding the Fourth Proportional to 1,982.04, 2,971.80 and 1,366

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Solution

The fourth proportional to 1,982.04, 2,971.80 and 1,366 is: 2,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.04 : 2,971.80 = 1,366 : x
  2. Step 2: Convert to fraction form
    1,982.04/2,971.80 = 1,366/x
  3. Step 3: Cross multiply
    1,982.04x = 2,971.80 × 1,366
  4. Step 4: Simplify right side
    1,982.04x = 4,059,478.80
  5. Step 5: Solve for x
    x = 4,059,478.80/1,982.04
  6. Step 6: Final answer
    x = 2,048.13

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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.