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Finding the Fourth Proportional to 3,924.80, 5,884.20 and 1,978.40

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Solution

The fourth proportional to 3,924.80, 5,884.20 and 1,978.40 is: 2,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.80 : 5,884.20 = 1,978.40 : x
  2. Step 2: Convert to fraction form
    3,924.80/5,884.20 = 1,978.40/x
  3. Step 3: Cross multiply
    3,924.80x = 5,884.20 × 1,978.40
  4. Step 4: Simplify right side
    3,924.80x = 11,641,301.28
  5. Step 5: Solve for x
    x = 11,641,301.28/3,924.80
  6. Step 6: Final answer
    x = 2,966.09

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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.