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Finding the Fourth Proportional to 6,388.95, 9,582.86 and 2,228.25

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Solution

The fourth proportional to 6,388.95, 9,582.86 and 2,228.25 is: 3,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.95 : 9,582.86 = 2,228.25 : x
  2. Step 2: Convert to fraction form
    6,388.95/9,582.86 = 2,228.25/x
  3. Step 3: Cross multiply
    6,388.95x = 9,582.86 × 2,228.25
  4. Step 4: Simplify right side
    6,388.95x = 21,352,996.65
  5. Step 5: Solve for x
    x = 21,352,996.65/6,388.95
  6. Step 6: Final answer
    x = 3,342.18

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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.