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Finding the Fourth Proportional to 2,723.18, 4,084.80 and 775.28

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Solution

The fourth proportional to 2,723.18, 4,084.80 and 775.28 is: 1,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.18 : 4,084.80 = 775.28 : x
  2. Step 2: Convert to fraction form
    2,723.18/4,084.80 = 775.28/x
  3. Step 3: Cross multiply
    2,723.18x = 4,084.80 × 775.28
  4. Step 4: Simplify right side
    2,723.18x = 3,166,863.74
  5. Step 5: Solve for x
    x = 3,166,863.74/2,723.18
  6. Step 6: Final answer
    x = 1,162.93

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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.