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Finding the Fourth Proportional to 12,222, 16,861.14 and 9,384.48

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Solution

The fourth proportional to 12,222, 16,861.14 and 9,384.48 is: 12,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222 : 16,861.14 = 9,384.48 : x
  2. Step 2: Convert to fraction form
    12,222/16,861.14 = 9,384.48/x
  3. Step 3: Cross multiply
    12,222x = 16,861.14 × 9,384.48
  4. Step 4: Simplify right side
    12,222x = 158,233,031.11
  5. Step 5: Solve for x
    x = 158,233,031.11/12,222
  6. Step 6: Final answer
    x = 12,946.57

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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.