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Finding the Fourth Proportional to 16,309, 22,506.42 and 9,685

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Solution

The fourth proportional to 16,309, 22,506.42 and 9,685 is: 13,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309 : 22,506.42 = 9,685 : x
  2. Step 2: Convert to fraction form
    16,309/22,506.42 = 9,685/x
  3. Step 3: Cross multiply
    16,309x = 22,506.42 × 9,685
  4. Step 4: Simplify right side
    16,309x = 217,974,677.70
  5. Step 5: Solve for x
    x = 217,974,677.70/16,309
  6. Step 6: Final answer
    x = 13,365.30

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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.