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Finding the Fourth Proportional to 8,729.18, 13,102 and 5,809.54

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Solution

The fourth proportional to 8,729.18, 13,102 and 5,809.54 is: 8,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.18 : 13,102 = 5,809.54 : x
  2. Step 2: Convert to fraction form
    8,729.18/13,102 = 5,809.54/x
  3. Step 3: Cross multiply
    8,729.18x = 13,102 × 5,809.54
  4. Step 4: Simplify right side
    8,729.18x = 76,116,593.08
  5. Step 5: Solve for x
    x = 76,116,593.08/8,729.18
  6. Step 6: Final answer
    x = 8,719.79

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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.