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Finding the Fourth Proportional to 7,208.66, 10,814.61 and 5,216.87

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Solution

The fourth proportional to 7,208.66, 10,814.61 and 5,216.87 is: 7,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.66 : 10,814.61 = 5,216.87 : x
  2. Step 2: Convert to fraction form
    7,208.66/10,814.61 = 5,216.87/x
  3. Step 3: Cross multiply
    7,208.66x = 10,814.61 × 5,216.87
  4. Step 4: Simplify right side
    7,208.66x = 56,418,414.47
  5. Step 5: Solve for x
    x = 56,418,414.47/7,208.66
  6. Step 6: Final answer
    x = 7,826.48

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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.