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Finding the Fourth Proportional to 20,357.73, 28,078.65 and 12,798

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Solution

The fourth proportional to 20,357.73, 28,078.65 and 12,798 is: 17,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.73 : 28,078.65 = 12,798 : x
  2. Step 2: Convert to fraction form
    20,357.73/28,078.65 = 12,798/x
  3. Step 3: Cross multiply
    20,357.73x = 28,078.65 × 12,798
  4. Step 4: Simplify right side
    20,357.73x = 359,350,562.70
  5. Step 5: Solve for x
    x = 359,350,562.70/20,357.73
  6. Step 6: Final answer
    x = 17,651.80

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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.