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Finding the Fourth Proportional to 20,978.92, 28,935.72 and 14,252.80

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Solution

The fourth proportional to 20,978.92, 28,935.72 and 14,252.80 is: 19,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.92 : 28,935.72 = 14,252.80 : x
  2. Step 2: Convert to fraction form
    20,978.92/28,935.72 = 14,252.80/x
  3. Step 3: Cross multiply
    20,978.92x = 28,935.72 × 14,252.80
  4. Step 4: Simplify right side
    20,978.92x = 412,415,030.02
  5. Step 5: Solve for x
    x = 412,415,030.02/20,978.92
  6. Step 6: Final answer
    x = 19,658.54

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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.