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Finding the Fourth Proportional to 10,954, 15,117.06 and 6,238.54

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Solution

The fourth proportional to 10,954, 15,117.06 and 6,238.54 is: 8,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954 : 15,117.06 = 6,238.54 : x
  2. Step 2: Convert to fraction form
    10,954/15,117.06 = 6,238.54/x
  3. Step 3: Cross multiply
    10,954x = 15,117.06 × 6,238.54
  4. Step 4: Simplify right side
    10,954x = 94,308,383.49
  5. Step 5: Solve for x
    x = 94,308,383.49/10,954
  6. Step 6: Final answer
    x = 8,609.49

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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.