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Finding the Fourth Proportional to 13,696.69, 20,535.76 and 5,371.51

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Solution

The fourth proportional to 13,696.69, 20,535.76 and 5,371.51 is: 8,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.69 : 20,535.76 = 5,371.51 : x
  2. Step 2: Convert to fraction form
    13,696.69/20,535.76 = 5,371.51/x
  3. Step 3: Cross multiply
    13,696.69x = 20,535.76 × 5,371.51
  4. Step 4: Simplify right side
    13,696.69x = 110,308,040.20
  5. Step 5: Solve for x
    x = 110,308,040.20/13,696.69
  6. Step 6: Final answer
    x = 8,053.63

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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.