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Finding the Fourth Proportional to 19,993.12, 30,009.90 and 11,689

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Solution

The fourth proportional to 19,993.12, 30,009.90 and 11,689 is: 17,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.12 : 30,009.90 = 11,689 : x
  2. Step 2: Convert to fraction form
    19,993.12/30,009.90 = 11,689/x
  3. Step 3: Cross multiply
    19,993.12x = 30,009.90 × 11,689
  4. Step 4: Simplify right side
    19,993.12x = 350,785,721.10
  5. Step 5: Solve for x
    x = 350,785,721.10/19,993.12
  6. Step 6: Final answer
    x = 17,545.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.