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Finding the Fourth Proportional to 5,378.96, 8,067.84 and 1,482.88

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Solution

The fourth proportional to 5,378.96, 8,067.84 and 1,482.88 is: 2,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.96 : 8,067.84 = 1,482.88 : x
  2. Step 2: Convert to fraction form
    5,378.96/8,067.84 = 1,482.88/x
  3. Step 3: Cross multiply
    5,378.96x = 8,067.84 × 1,482.88
  4. Step 4: Simplify right side
    5,378.96x = 11,963,638.58
  5. Step 5: Solve for x
    x = 11,963,638.58/5,378.96
  6. Step 6: Final answer
    x = 2,224.15

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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.