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Finding the Fourth Proportional to 22,226, 30,670.62 and 12,152.57

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Solution

The fourth proportional to 22,226, 30,670.62 and 12,152.57 is: 16,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,226 : 30,670.62 = 12,152.57 : x
  2. Step 2: Convert to fraction form
    22,226/30,670.62 = 12,152.57/x
  3. Step 3: Cross multiply
    22,226x = 30,670.62 × 12,152.57
  4. Step 4: Simplify right side
    22,226x = 372,726,856.49
  5. Step 5: Solve for x
    x = 372,726,856.49/22,226
  6. Step 6: Final answer
    x = 16,769.86

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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.