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Finding the Fourth Proportional to 6,489.32, 9,693.88 and 4,719.06

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Solution

The fourth proportional to 6,489.32, 9,693.88 and 4,719.06 is: 7,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.32 : 9,693.88 = 4,719.06 : x
  2. Step 2: Convert to fraction form
    6,489.32/9,693.88 = 4,719.06/x
  3. Step 3: Cross multiply
    6,489.32x = 9,693.88 × 4,719.06
  4. Step 4: Simplify right side
    6,489.32x = 45,745,989.56
  5. Step 5: Solve for x
    x = 45,745,989.56/6,489.32
  6. Step 6: Final answer
    x = 7,049.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.