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Finding the Fourth Proportional to 22,243, 30,696.30 and 12,307

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Solution

The fourth proportional to 22,243, 30,696.30 and 12,307 is: 16,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,243 : 30,696.30 = 12,307 : x
  2. Step 2: Convert to fraction form
    22,243/30,696.30 = 12,307/x
  3. Step 3: Cross multiply
    22,243x = 30,696.30 × 12,307
  4. Step 4: Simplify right side
    22,243x = 377,779,364.10
  5. Step 5: Solve for x
    x = 377,779,364.10/22,243
  6. Step 6: Final answer
    x = 16,984.19

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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.