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Finding the Fourth Proportional to 6,078.65, 9,118.98 and 1,917.68

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Solution

The fourth proportional to 6,078.65, 9,118.98 and 1,917.68 is: 2,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.65 : 9,118.98 = 1,917.68 : x
  2. Step 2: Convert to fraction form
    6,078.65/9,118.98 = 1,917.68/x
  3. Step 3: Cross multiply
    6,078.65x = 9,118.98 × 1,917.68
  4. Step 4: Simplify right side
    6,078.65x = 17,487,239.97
  5. Step 5: Solve for x
    x = 17,487,239.97/6,078.65
  6. Step 6: Final answer
    x = 2,876.83

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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.