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Finding the Fourth Proportional to 1,984.20, 2,976.48 and 814.14

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Solution

The fourth proportional to 1,984.20, 2,976.48 and 814.14 is: 1,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.20 : 2,976.48 = 814.14 : x
  2. Step 2: Convert to fraction form
    1,984.20/2,976.48 = 814.14/x
  3. Step 3: Cross multiply
    1,984.20x = 2,976.48 × 814.14
  4. Step 4: Simplify right side
    1,984.20x = 2,423,271.43
  5. Step 5: Solve for x
    x = 2,423,271.43/1,984.20
  6. Step 6: Final answer
    x = 1,221.28

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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.