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Finding the Fourth Proportional to 7,751.20, 10,696.12 and 4,606.80

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Solution

The fourth proportional to 7,751.20, 10,696.12 and 4,606.80 is: 6,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.20 : 10,696.12 = 4,606.80 : x
  2. Step 2: Convert to fraction form
    7,751.20/10,696.12 = 4,606.80/x
  3. Step 3: Cross multiply
    7,751.20x = 10,696.12 × 4,606.80
  4. Step 4: Simplify right side
    7,751.20x = 49,274,885.62
  5. Step 5: Solve for x
    x = 49,274,885.62/7,751.20
  6. Step 6: Final answer
    x = 6,357.07

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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.