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Finding the Fourth Proportional to 3,019.71, 4,528.98 and 827.88

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Solution

The fourth proportional to 3,019.71, 4,528.98 and 827.88 is: 1,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.71 : 4,528.98 = 827.88 : x
  2. Step 2: Convert to fraction form
    3,019.71/4,528.98 = 827.88/x
  3. Step 3: Cross multiply
    3,019.71x = 4,528.98 × 827.88
  4. Step 4: Simplify right side
    3,019.71x = 3,749,451.96
  5. Step 5: Solve for x
    x = 3,749,451.96/3,019.71
  6. Step 6: Final answer
    x = 1,241.66

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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.