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Finding the Fourth Proportional to 9,523.75, 13,143.24 and 5,491.19

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Solution

The fourth proportional to 9,523.75, 13,143.24 and 5,491.19 is: 7,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.75 : 13,143.24 = 5,491.19 : x
  2. Step 2: Convert to fraction form
    9,523.75/13,143.24 = 5,491.19/x
  3. Step 3: Cross multiply
    9,523.75x = 13,143.24 × 5,491.19
  4. Step 4: Simplify right side
    9,523.75x = 72,172,045.47
  5. Step 5: Solve for x
    x = 72,172,045.47/9,523.75
  6. Step 6: Final answer
    x = 7,578.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.