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Finding the Fourth Proportional to 6,489.99, 9,738.06 and 3,368.34

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Solution

The fourth proportional to 6,489.99, 9,738.06 and 3,368.34 is: 5,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.99 : 9,738.06 = 3,368.34 : x
  2. Step 2: Convert to fraction form
    6,489.99/9,738.06 = 3,368.34/x
  3. Step 3: Cross multiply
    6,489.99x = 9,738.06 × 3,368.34
  4. Step 4: Simplify right side
    6,489.99x = 32,801,097.02
  5. Step 5: Solve for x
    x = 32,801,097.02/6,489.99
  6. Step 6: Final answer
    x = 5,054.11

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Why These Related Problems?

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