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Finding the Fourth Proportional to 13,908, 19,193.04 and 7,620.51

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Solution

The fourth proportional to 13,908, 19,193.04 and 7,620.51 is: 10,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908 : 19,193.04 = 7,620.51 : x
  2. Step 2: Convert to fraction form
    13,908/19,193.04 = 7,620.51/x
  3. Step 3: Cross multiply
    13,908x = 19,193.04 × 7,620.51
  4. Step 4: Simplify right side
    13,908x = 146,260,753.25
  5. Step 5: Solve for x
    x = 146,260,753.25/13,908
  6. Step 6: Final answer
    x = 10,516.30

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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.