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Finding the Fourth Proportional to 7,801.68, 10,766.34 and 4,657.80

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Solution

The fourth proportional to 7,801.68, 10,766.34 and 4,657.80 is: 6,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.68 : 10,766.34 = 4,657.80 : x
  2. Step 2: Convert to fraction form
    7,801.68/10,766.34 = 4,657.80/x
  3. Step 3: Cross multiply
    7,801.68x = 10,766.34 × 4,657.80
  4. Step 4: Simplify right side
    7,801.68x = 50,147,458.45
  5. Step 5: Solve for x
    x = 50,147,458.45/7,801.68
  6. Step 6: Final answer
    x = 6,427.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.