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Finding the Fourth Proportional to 6,342.36, 9,489.78 and 6,009

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Solution

The fourth proportional to 6,342.36, 9,489.78 and 6,009 is: 8,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.36 : 9,489.78 = 6,009 : x
  2. Step 2: Convert to fraction form
    6,342.36/9,489.78 = 6,009/x
  3. Step 3: Cross multiply
    6,342.36x = 9,489.78 × 6,009
  4. Step 4: Simplify right side
    6,342.36x = 57,024,088.02
  5. Step 5: Solve for x
    x = 57,024,088.02/6,342.36
  6. Step 6: Final answer
    x = 8,990.99

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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.