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Finding the Fourth Proportional to 5,503.12, 8,238.95 and 5,153.97

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Solution

The fourth proportional to 5,503.12, 8,238.95 and 5,153.97 is: 7,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.12 : 8,238.95 = 5,153.97 : x
  2. Step 2: Convert to fraction form
    5,503.12/8,238.95 = 5,153.97/x
  3. Step 3: Cross multiply
    5,503.12x = 8,238.95 × 5,153.97
  4. Step 4: Simplify right side
    5,503.12x = 42,463,301.13
  5. Step 5: Solve for x
    x = 42,463,301.13/5,503.12
  6. Step 6: Final answer
    x = 7,716.22

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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.