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Finding the Fourth Proportional to 12,535.68, 18,712 and 11,622

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Solution

The fourth proportional to 12,535.68, 18,712 and 11,622 is: 17,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.68 : 18,712 = 11,622 : x
  2. Step 2: Convert to fraction form
    12,535.68/18,712 = 11,622/x
  3. Step 3: Cross multiply
    12,535.68x = 18,712 × 11,622
  4. Step 4: Simplify right side
    12,535.68x = 217,470,864
  5. Step 5: Solve for x
    x = 217,470,864/12,535.68
  6. Step 6: Final answer
    x = 17,348.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.