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Finding the Fourth Proportional to 20,998.65, 28,978.18 and 11,438.51

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Solution

The fourth proportional to 20,998.65, 28,978.18 and 11,438.51 is: 15,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.65 : 28,978.18 = 11,438.51 : x
  2. Step 2: Convert to fraction form
    20,998.65/28,978.18 = 11,438.51/x
  3. Step 3: Cross multiply
    20,998.65x = 28,978.18 × 11,438.51
  4. Step 4: Simplify right side
    20,998.65x = 331,467,201.71
  5. Step 5: Solve for x
    x = 331,467,201.71/20,998.65
  6. Step 6: Final answer
    x = 15,785.17

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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.