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Finding the Fourth Proportional to 13,172.92, 19,741.94 and 6,920.14

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Solution

The fourth proportional to 13,172.92, 19,741.94 and 6,920.14 is: 10,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.92 : 19,741.94 = 6,920.14 : x
  2. Step 2: Convert to fraction form
    13,172.92/19,741.94 = 6,920.14/x
  3. Step 3: Cross multiply
    13,172.92x = 19,741.94 × 6,920.14
  4. Step 4: Simplify right side
    13,172.92x = 136,616,988.67
  5. Step 5: Solve for x
    x = 136,616,988.67/13,172.92
  6. Step 6: Final answer
    x = 10,371.05

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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.