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Finding the Fourth Proportional to 7,891.86, 10,891.95 and 5,062.43

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Solution

The fourth proportional to 7,891.86, 10,891.95 and 5,062.43 is: 6,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.86 : 10,891.95 = 5,062.43 : x
  2. Step 2: Convert to fraction form
    7,891.86/10,891.95 = 5,062.43/x
  3. Step 3: Cross multiply
    7,891.86x = 10,891.95 × 5,062.43
  4. Step 4: Simplify right side
    7,891.86x = 55,139,734.44
  5. Step 5: Solve for x
    x = 55,139,734.44/7,891.86
  6. Step 6: Final answer
    x = 6,986.91

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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.