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Finding the Fourth Proportional to 20,488.80, 30,738 and 6,637.80

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Solution

The fourth proportional to 20,488.80, 30,738 and 6,637.80 is: 9,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.80 : 30,738 = 6,637.80 : x
  2. Step 2: Convert to fraction form
    20,488.80/30,738 = 6,637.80/x
  3. Step 3: Cross multiply
    20,488.80x = 30,738 × 6,637.80
  4. Step 4: Simplify right side
    20,488.80x = 204,032,696.40
  5. Step 5: Solve for x
    x = 204,032,696.40/20,488.80
  6. Step 6: Final answer
    x = 9,958.26

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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.