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Finding the Fourth Proportional to 12,369.11, 18,562.86 and 7,695.90

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Solution

The fourth proportional to 12,369.11, 18,562.86 and 7,695.90 is: 11,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.11 : 18,562.86 = 7,695.90 : x
  2. Step 2: Convert to fraction form
    12,369.11/18,562.86 = 7,695.90/x
  3. Step 3: Cross multiply
    12,369.11x = 18,562.86 × 7,695.90
  4. Step 4: Simplify right side
    12,369.11x = 142,857,914.27
  5. Step 5: Solve for x
    x = 142,857,914.27/12,369.11
  6. Step 6: Final answer
    x = 11,549.58

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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.