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Finding the Fourth Proportional to 7,493.96, 11,232.16 and 5,639.12

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Solution

The fourth proportional to 7,493.96, 11,232.16 and 5,639.12 is: 8,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.96 : 11,232.16 = 5,639.12 : x
  2. Step 2: Convert to fraction form
    7,493.96/11,232.16 = 5,639.12/x
  3. Step 3: Cross multiply
    7,493.96x = 11,232.16 × 5,639.12
  4. Step 4: Simplify right side
    7,493.96x = 63,339,498.10
  5. Step 5: Solve for x
    x = 63,339,498.10/7,493.96
  6. Step 6: Final answer
    x = 8,452.07

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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.