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Finding the Fourth Proportional to 22,281, 30,747.78 and 12,345

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Solution

The fourth proportional to 22,281, 30,747.78 and 12,345 is: 17,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281 : 30,747.78 = 12,345 : x
  2. Step 2: Convert to fraction form
    22,281/30,747.78 = 12,345/x
  3. Step 3: Cross multiply
    22,281x = 30,747.78 × 12,345
  4. Step 4: Simplify right side
    22,281x = 379,581,344.10
  5. Step 5: Solve for x
    x = 379,581,344.10/22,281
  6. Step 6: Final answer
    x = 17,036.10

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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.