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Finding the Fourth Proportional to 8,412.48, 11,596.86 and 5,427.18

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Solution

The fourth proportional to 8,412.48, 11,596.86 and 5,427.18 is: 7,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.48 : 11,596.86 = 5,427.18 : x
  2. Step 2: Convert to fraction form
    8,412.48/11,596.86 = 5,427.18/x
  3. Step 3: Cross multiply
    8,412.48x = 11,596.86 × 5,427.18
  4. Step 4: Simplify right side
    8,412.48x = 62,938,246.65
  5. Step 5: Solve for x
    x = 62,938,246.65/8,412.48
  6. Step 6: Final answer
    x = 7,481.53

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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.