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Finding the Fourth Proportional to 7,930.66, 10,939.92 and 5,054.02

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Solution

The fourth proportional to 7,930.66, 10,939.92 and 5,054.02 is: 6,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.66 : 10,939.92 = 5,054.02 : x
  2. Step 2: Convert to fraction form
    7,930.66/10,939.92 = 5,054.02/x
  3. Step 3: Cross multiply
    7,930.66x = 10,939.92 × 5,054.02
  4. Step 4: Simplify right side
    7,930.66x = 55,290,574.48
  5. Step 5: Solve for x
    x = 55,290,574.48/7,930.66
  6. Step 6: Final answer
    x = 6,971.75

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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.