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Finding the Fourth Proportional to 2,832.03, 4,248.78 and 857.67

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Solution

The fourth proportional to 2,832.03, 4,248.78 and 857.67 is: 1,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.03 : 4,248.78 = 857.67 : x
  2. Step 2: Convert to fraction form
    2,832.03/4,248.78 = 857.67/x
  3. Step 3: Cross multiply
    2,832.03x = 4,248.78 × 857.67
  4. Step 4: Simplify right side
    2,832.03x = 3,644,025.61
  5. Step 5: Solve for x
    x = 3,644,025.61/2,832.03
  6. Step 6: Final answer
    x = 1,286.72

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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.