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Finding the Fourth Proportional to 20,053, 30,072.06 and 8,948.68

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Solution

The fourth proportional to 20,053, 30,072.06 and 8,948.68 is: 13,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053 : 30,072.06 = 8,948.68 : x
  2. Step 2: Convert to fraction form
    20,053/30,072.06 = 8,948.68/x
  3. Step 3: Cross multiply
    20,053x = 30,072.06 × 8,948.68
  4. Step 4: Simplify right side
    20,053x = 269,105,241.88
  5. Step 5: Solve for x
    x = 269,105,241.88/20,053
  6. Step 6: Final answer
    x = 13,419.70

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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.