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Finding the Fourth Proportional to 7,464.90, 11,221.65 and 5,288.70

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Solution

The fourth proportional to 7,464.90, 11,221.65 and 5,288.70 is: 7,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.90 : 11,221.65 = 5,288.70 : x
  2. Step 2: Convert to fraction form
    7,464.90/11,221.65 = 5,288.70/x
  3. Step 3: Cross multiply
    7,464.90x = 11,221.65 × 5,288.70
  4. Step 4: Simplify right side
    7,464.90x = 59,347,940.36
  5. Step 5: Solve for x
    x = 59,347,940.36/7,464.90
  6. Step 6: Final answer
    x = 7,950.27

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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.