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Finding the Fourth Proportional to 7,806.78, 10,773.24 and 4,780.89

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Solution

The fourth proportional to 7,806.78, 10,773.24 and 4,780.89 is: 6,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.78 : 10,773.24 = 4,780.89 : x
  2. Step 2: Convert to fraction form
    7,806.78/10,773.24 = 4,780.89/x
  3. Step 3: Cross multiply
    7,806.78x = 10,773.24 × 4,780.89
  4. Step 4: Simplify right side
    7,806.78x = 51,505,657.46
  5. Step 5: Solve for x
    x = 51,505,657.46/7,806.78
  6. Step 6: Final answer
    x = 6,597.55

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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.