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Finding the Fourth Proportional to 2,158, 3,236.80 and 771.28

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Solution

The fourth proportional to 2,158, 3,236.80 and 771.28 is: 1,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158 : 3,236.80 = 771.28 : x
  2. Step 2: Convert to fraction form
    2,158/3,236.80 = 771.28/x
  3. Step 3: Cross multiply
    2,158x = 3,236.80 × 771.28
  4. Step 4: Simplify right side
    2,158x = 2,496,479.10
  5. Step 5: Solve for x
    x = 2,496,479.10/2,158
  6. Step 6: Final answer
    x = 1,156.85

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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.