Home / 10,494-15,719.89-4,863.78

Finding the Fourth Proportional to 10,494, 15,719.89 and 4,863.78

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Solution

The fourth proportional to 10,494, 15,719.89 and 4,863.78 is: 7,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 15,719.89 = 4,863.78 : x
  2. Step 2: Convert to fraction form
    10,494/15,719.89 = 4,863.78/x
  3. Step 3: Cross multiply
    10,494x = 15,719.89 × 4,863.78
  4. Step 4: Simplify right side
    10,494x = 76,458,086.58
  5. Step 5: Solve for x
    x = 76,458,086.58/10,494
  6. Step 6: Final answer
    x = 7,285.89

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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.