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Finding the Fourth Proportional to 2,097.48, 3,147.42 and 1,984.88

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Solution

The fourth proportional to 2,097.48, 3,147.42 and 1,984.88 is: 2,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.48 : 3,147.42 = 1,984.88 : x
  2. Step 2: Convert to fraction form
    2,097.48/3,147.42 = 1,984.88/x
  3. Step 3: Cross multiply
    2,097.48x = 3,147.42 × 1,984.88
  4. Step 4: Simplify right side
    2,097.48x = 6,247,251.01
  5. Step 5: Solve for x
    x = 6,247,251.01/2,097.48
  6. Step 6: Final answer
    x = 2,978.46

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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.