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Finding the Fourth Proportional to 6,489.76, 8,955.86 and 3,695.26

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Solution

The fourth proportional to 6,489.76, 8,955.86 and 3,695.26 is: 5,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.76 : 8,955.86 = 3,695.26 : x
  2. Step 2: Convert to fraction form
    6,489.76/8,955.86 = 3,695.26/x
  3. Step 3: Cross multiply
    6,489.76x = 8,955.86 × 3,695.26
  4. Step 4: Simplify right side
    6,489.76x = 33,094,231.22
  5. Step 5: Solve for x
    x = 33,094,231.22/6,489.76
  6. Step 6: Final answer
    x = 5,099.45

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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.