Home / 10,141.12-15,216.64-5,696

Finding the Fourth Proportional to 10,141.12, 15,216.64 and 5,696

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Solution

The fourth proportional to 10,141.12, 15,216.64 and 5,696 is: 8,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.12 : 15,216.64 = 5,696 : x
  2. Step 2: Convert to fraction form
    10,141.12/15,216.64 = 5,696/x
  3. Step 3: Cross multiply
    10,141.12x = 15,216.64 × 5,696
  4. Step 4: Simplify right side
    10,141.12x = 86,673,981.44
  5. Step 5: Solve for x
    x = 86,673,981.44/10,141.12
  6. Step 6: Final answer
    x = 8,546.79

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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.