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Finding the Fourth Proportional to 6,812.74, 9,402.60 and 4,161.68

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Solution

The fourth proportional to 6,812.74, 9,402.60 and 4,161.68 is: 5,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.74 : 9,402.60 = 4,161.68 : x
  2. Step 2: Convert to fraction form
    6,812.74/9,402.60 = 4,161.68/x
  3. Step 3: Cross multiply
    6,812.74x = 9,402.60 × 4,161.68
  4. Step 4: Simplify right side
    6,812.74x = 39,130,612.37
  5. Step 5: Solve for x
    x = 39,130,612.37/6,812.74
  6. Step 6: Final answer
    x = 5,743.74

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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.