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Finding the Fourth Proportional to 22,347.78, 30,838.41 and 12,276.65

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Solution

The fourth proportional to 22,347.78, 30,838.41 and 12,276.65 is: 16,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.78 : 30,838.41 = 12,276.65 : x
  2. Step 2: Convert to fraction form
    22,347.78/30,838.41 = 12,276.65/x
  3. Step 3: Cross multiply
    22,347.78x = 30,838.41 × 12,276.65
  4. Step 4: Simplify right side
    22,347.78x = 378,592,366.13
  5. Step 5: Solve for x
    x = 378,592,366.13/22,347.78
  6. Step 6: Final answer
    x = 16,940.94

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1.5x scale

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.