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Finding the Fourth Proportional to 8,098.56, 11,176.50 and 5,405.16

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Solution

The fourth proportional to 8,098.56, 11,176.50 and 5,405.16 is: 7,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.56 : 11,176.50 = 5,405.16 : x
  2. Step 2: Convert to fraction form
    8,098.56/11,176.50 = 5,405.16/x
  3. Step 3: Cross multiply
    8,098.56x = 11,176.50 × 5,405.16
  4. Step 4: Simplify right side
    8,098.56x = 60,410,770.74
  5. Step 5: Solve for x
    x = 60,410,770.74/8,098.56
  6. Step 6: Final answer
    x = 7,459.45

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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.