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Finding the Fourth Proportional to 20,978.09, 28,935.02 and 13,805.71

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Solution

The fourth proportional to 20,978.09, 28,935.02 and 13,805.71 is: 19,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.09 : 28,935.02 = 13,805.71 : x
  2. Step 2: Convert to fraction form
    20,978.09/28,935.02 = 13,805.71/x
  3. Step 3: Cross multiply
    20,978.09x = 28,935.02 × 13,805.71
  4. Step 4: Simplify right side
    20,978.09x = 399,468,353.60
  5. Step 5: Solve for x
    x = 399,468,353.60/20,978.09
  6. Step 6: Final answer
    x = 19,042.17

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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.