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Finding the Fourth Proportional to 22,295, 30,767.10 and 12,359

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Solution

The fourth proportional to 22,295, 30,767.10 and 12,359 is: 17,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295 : 30,767.10 = 12,359 : x
  2. Step 2: Convert to fraction form
    22,295/30,767.10 = 12,359/x
  3. Step 3: Cross multiply
    22,295x = 30,767.10 × 12,359
  4. Step 4: Simplify right side
    22,295x = 380,250,588.90
  5. Step 5: Solve for x
    x = 380,250,588.90/22,295
  6. Step 6: Final answer
    x = 17,055.42

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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.