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Finding the Fourth Proportional to 22,123, 30,529.76 and 12,187

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Solution

The fourth proportional to 22,123, 30,529.76 and 12,187 is: 16,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123 : 30,529.76 = 12,187 : x
  2. Step 2: Convert to fraction form
    22,123/30,529.76 = 12,187/x
  3. Step 3: Cross multiply
    22,123x = 30,529.76 × 12,187
  4. Step 4: Simplify right side
    22,123x = 372,066,185.12
  5. Step 5: Solve for x
    x = 372,066,185.12/22,123
  6. Step 6: Final answer
    x = 16,818.07

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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.