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Finding the Fourth Proportional to 7,806.78, 10,773.54 and 4,449.78

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Solution

The fourth proportional to 7,806.78, 10,773.54 and 4,449.78 is: 6,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.78 : 10,773.54 = 4,449.78 : x
  2. Step 2: Convert to fraction form
    7,806.78/10,773.54 = 4,449.78/x
  3. Step 3: Cross multiply
    7,806.78x = 10,773.54 × 4,449.78
  4. Step 4: Simplify right side
    7,806.78x = 47,939,882.82
  5. Step 5: Solve for x
    x = 47,939,882.82/7,806.78
  6. Step 6: Final answer
    x = 6,140.80

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1.5x scale

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.