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Finding the Fourth Proportional to 20,456.80, 30,670.80 and 9,368.80

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Solution

The fourth proportional to 20,456.80, 30,670.80 and 9,368.80 is: 14,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.80 : 30,670.80 = 9,368.80 : x
  2. Step 2: Convert to fraction form
    20,456.80/30,670.80 = 9,368.80/x
  3. Step 3: Cross multiply
    20,456.80x = 30,670.80 × 9,368.80
  4. Step 4: Simplify right side
    20,456.80x = 287,348,591.04
  5. Step 5: Solve for x
    x = 287,348,591.04/20,456.80
  6. Step 6: Final answer
    x = 14,046.61

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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.