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Finding the Fourth Proportional to 7,757.71, 10,705.33 and 4,220.94

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Solution

The fourth proportional to 7,757.71, 10,705.33 and 4,220.94 is: 5,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.71 : 10,705.33 = 4,220.94 : x
  2. Step 2: Convert to fraction form
    7,757.71/10,705.33 = 4,220.94/x
  3. Step 3: Cross multiply
    7,757.71x = 10,705.33 × 4,220.94
  4. Step 4: Simplify right side
    7,757.71x = 45,186,555.61
  5. Step 5: Solve for x
    x = 45,186,555.61/7,757.71
  6. Step 6: Final answer
    x = 5,824.73

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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.