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Finding the Fourth Proportional to 7,930.03, 10,938.49 and 5,101.09

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Solution

The fourth proportional to 7,930.03, 10,938.49 and 5,101.09 is: 7,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.03 : 10,938.49 = 5,101.09 : x
  2. Step 2: Convert to fraction form
    7,930.03/10,938.49 = 5,101.09/x
  3. Step 3: Cross multiply
    7,930.03x = 10,938.49 × 5,101.09
  4. Step 4: Simplify right side
    7,930.03x = 55,798,221.95
  5. Step 5: Solve for x
    x = 55,798,221.95/7,930.03
  6. Step 6: Final answer
    x = 7,036.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.