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Finding the Fourth Proportional to 7,806, 10,781 and 6,058.80

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Solution

The fourth proportional to 7,806, 10,781 and 6,058.80 is: 8,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 10,781 = 6,058.80 : x
  2. Step 2: Convert to fraction form
    7,806/10,781 = 6,058.80/x
  3. Step 3: Cross multiply
    7,806x = 10,781 × 6,058.80
  4. Step 4: Simplify right side
    7,806x = 65,319,922.80
  5. Step 5: Solve for x
    x = 65,319,922.80/7,806
  6. Step 6: Final answer
    x = 8,367.91

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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.