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Finding the Fourth Proportional to 6,489.81, 8,955.82 and 3,657.30

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Solution

The fourth proportional to 6,489.81, 8,955.82 and 3,657.30 is: 5,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.81 : 8,955.82 = 3,657.30 : x
  2. Step 2: Convert to fraction form
    6,489.81/8,955.82 = 3,657.30/x
  3. Step 3: Cross multiply
    6,489.81x = 8,955.82 × 3,657.30
  4. Step 4: Simplify right side
    6,489.81x = 32,754,120.49
  5. Step 5: Solve for x
    x = 32,754,120.49/6,489.81
  6. Step 6: Final answer
    x = 5,047.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.