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Finding the Fourth Proportional to 6,862.89, 9,470.78 and 3,719.08

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Solution

The fourth proportional to 6,862.89, 9,470.78 and 3,719.08 is: 5,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.89 : 9,470.78 = 3,719.08 : x
  2. Step 2: Convert to fraction form
    6,862.89/9,470.78 = 3,719.08/x
  3. Step 3: Cross multiply
    6,862.89x = 9,470.78 × 3,719.08
  4. Step 4: Simplify right side
    6,862.89x = 35,222,588.48
  5. Step 5: Solve for x
    x = 35,222,588.48/6,862.89
  6. Step 6: Final answer
    x = 5,132.33

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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.