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Finding the Fourth Proportional to 13,696.51, 18,901.17 and 7,408.87

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Solution

The fourth proportional to 13,696.51, 18,901.17 and 7,408.87 is: 10,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.51 : 18,901.17 = 7,408.87 : x
  2. Step 2: Convert to fraction form
    13,696.51/18,901.17 = 7,408.87/x
  3. Step 3: Cross multiply
    13,696.51x = 18,901.17 × 7,408.87
  4. Step 4: Simplify right side
    13,696.51x = 140,036,311.38
  5. Step 5: Solve for x
    x = 140,036,311.38/13,696.51
  6. Step 6: Final answer
    x = 10,224.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.