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Finding the Fourth Proportional to 7,806, 10,777.44 and 4,826.22

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Solution

The fourth proportional to 7,806, 10,777.44 and 4,826.22 is: 6,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 10,777.44 = 4,826.22 : x
  2. Step 2: Convert to fraction form
    7,806/10,777.44 = 4,826.22/x
  3. Step 3: Cross multiply
    7,806x = 10,777.44 × 4,826.22
  4. Step 4: Simplify right side
    7,806x = 52,014,296.48
  5. Step 5: Solve for x
    x = 52,014,296.48/7,806
  6. Step 6: Final answer
    x = 6,663.37

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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.