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Finding the Fourth Proportional to 20,138, 30,185.40 and 9,726.80

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Solution

The fourth proportional to 20,138, 30,185.40 and 9,726.80 is: 14,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 30,185.40 = 9,726.80 : x
  2. Step 2: Convert to fraction form
    20,138/30,185.40 = 9,726.80/x
  3. Step 3: Cross multiply
    20,138x = 30,185.40 × 9,726.80
  4. Step 4: Simplify right side
    20,138x = 293,607,348.72
  5. Step 5: Solve for x
    x = 293,607,348.72/20,138
  6. Step 6: Final answer
    x = 14,579.77

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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.