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Finding the Fourth Proportional to 9,520.54, 13,136.68 and 5,486.47

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Solution

The fourth proportional to 9,520.54, 13,136.68 and 5,486.47 is: 7,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.54 : 13,136.68 = 5,486.47 : x
  2. Step 2: Convert to fraction form
    9,520.54/13,136.68 = 5,486.47/x
  3. Step 3: Cross multiply
    9,520.54x = 13,136.68 × 5,486.47
  4. Step 4: Simplify right side
    9,520.54x = 72,073,974.74
  5. Step 5: Solve for x
    x = 72,073,974.74/9,520.54
  6. Step 6: Final answer
    x = 7,570.37

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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.