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Finding the Fourth Proportional to 20,878.14, 31,308.99 and 7,721.49

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Solution

The fourth proportional to 20,878.14, 31,308.99 and 7,721.49 is: 11,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.14 : 31,308.99 = 7,721.49 : x
  2. Step 2: Convert to fraction form
    20,878.14/31,308.99 = 7,721.49/x
  3. Step 3: Cross multiply
    20,878.14x = 31,308.99 × 7,721.49
  4. Step 4: Simplify right side
    20,878.14x = 241,752,053.20
  5. Step 5: Solve for x
    x = 241,752,053.20/20,878.14
  6. Step 6: Final answer
    x = 11,579.19

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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.