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Finding the Fourth Proportional to 2,845.68, 4,270.92 and 2,824.08

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Solution

The fourth proportional to 2,845.68, 4,270.92 and 2,824.08 is: 4,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.68 : 4,270.92 = 2,824.08 : x
  2. Step 2: Convert to fraction form
    2,845.68/4,270.92 = 2,824.08/x
  3. Step 3: Cross multiply
    2,845.68x = 4,270.92 × 2,824.08
  4. Step 4: Simplify right side
    2,845.68x = 12,061,419.75
  5. Step 5: Solve for x
    x = 12,061,419.75/2,845.68
  6. Step 6: Final answer
    x = 4,238.50

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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.