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Finding the Fourth Proportional to 13,469.05, 18,587.82 and 7,804

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Solution

The fourth proportional to 13,469.05, 18,587.82 and 7,804 is: 10,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.05 : 18,587.82 = 7,804 : x
  2. Step 2: Convert to fraction form
    13,469.05/18,587.82 = 7,804/x
  3. Step 3: Cross multiply
    13,469.05x = 18,587.82 × 7,804
  4. Step 4: Simplify right side
    13,469.05x = 145,059,347.28
  5. Step 5: Solve for x
    x = 145,059,347.28/13,469.05
  6. Step 6: Final answer
    x = 10,769.83

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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.