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Finding the Fourth Proportional to 5,405.66, 7,457.24 and 3,166.14

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Solution

The fourth proportional to 5,405.66, 7,457.24 and 3,166.14 is: 4,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.66 : 7,457.24 = 3,166.14 : x
  2. Step 2: Convert to fraction form
    5,405.66/7,457.24 = 3,166.14/x
  3. Step 3: Cross multiply
    5,405.66x = 7,457.24 × 3,166.14
  4. Step 4: Simplify right side
    5,405.66x = 23,610,665.85
  5. Step 5: Solve for x
    x = 23,610,665.85/5,405.66
  6. Step 6: Final answer
    x = 4,367.77

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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.