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Finding the Fourth Proportional to 7,374.74, 10,165.25 and 5,778.66

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Solution

The fourth proportional to 7,374.74, 10,165.25 and 5,778.66 is: 7,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.74 : 10,165.25 = 5,778.66 : x
  2. Step 2: Convert to fraction form
    7,374.74/10,165.25 = 5,778.66/x
  3. Step 3: Cross multiply
    7,374.74x = 10,165.25 × 5,778.66
  4. Step 4: Simplify right side
    7,374.74x = 58,741,523.57
  5. Step 5: Solve for x
    x = 58,741,523.57/7,374.74
  6. Step 6: Final answer
    x = 7,965.23

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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.