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Finding the Fourth Proportional to 6,470.74, 9,724.57 and 3,186.12

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Solution

The fourth proportional to 6,470.74, 9,724.57 and 3,186.12 is: 4,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.74 : 9,724.57 = 3,186.12 : x
  2. Step 2: Convert to fraction form
    6,470.74/9,724.57 = 3,186.12/x
  3. Step 3: Cross multiply
    6,470.74x = 9,724.57 × 3,186.12
  4. Step 4: Simplify right side
    6,470.74x = 30,983,646.97
  5. Step 5: Solve for x
    x = 30,983,646.97/6,470.74
  6. Step 6: Final answer
    x = 4,788.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.