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Finding the Fourth Proportional to 6,489.31, 8,955.25 and 3,505.14

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Solution

The fourth proportional to 6,489.31, 8,955.25 and 3,505.14 is: 4,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.31 : 8,955.25 = 3,505.14 : x
  2. Step 2: Convert to fraction form
    6,489.31/8,955.25 = 3,505.14/x
  3. Step 3: Cross multiply
    6,489.31x = 8,955.25 × 3,505.14
  4. Step 4: Simplify right side
    6,489.31x = 31,389,429.07
  5. Step 5: Solve for x
    x = 31,389,429.07/6,489.31
  6. Step 6: Final answer
    x = 4,837.10

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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.