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Finding the Fourth Proportional to 22,269, 30,732.97 and 12,706.68

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Solution

The fourth proportional to 22,269, 30,732.97 and 12,706.68 is: 17,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269 : 30,732.97 = 12,706.68 : x
  2. Step 2: Convert to fraction form
    22,269/30,732.97 = 12,706.68/x
  3. Step 3: Cross multiply
    22,269x = 30,732.97 × 12,706.68
  4. Step 4: Simplify right side
    22,269x = 390,513,983.47
  5. Step 5: Solve for x
    x = 390,513,983.47/22,269
  6. Step 6: Final answer
    x = 17,536.22

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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.