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Finding the Fourth Proportional to 7,496.71, 11,221.49 and 5,142.95

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Solution

The fourth proportional to 7,496.71, 11,221.49 and 5,142.95 is: 7,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.71 : 11,221.49 = 5,142.95 : x
  2. Step 2: Convert to fraction form
    7,496.71/11,221.49 = 5,142.95/x
  3. Step 3: Cross multiply
    7,496.71x = 11,221.49 × 5,142.95
  4. Step 4: Simplify right side
    7,496.71x = 57,711,583.43
  5. Step 5: Solve for x
    x = 57,711,583.43/7,496.71
  6. Step 6: Final answer
    x = 7,698.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.