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Finding the Fourth Proportional to 3,309.48, 4,975.20 and 2,587.80

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Solution

The fourth proportional to 3,309.48, 4,975.20 and 2,587.80 is: 3,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.48 : 4,975.20 = 2,587.80 : x
  2. Step 2: Convert to fraction form
    3,309.48/4,975.20 = 2,587.80/x
  3. Step 3: Cross multiply
    3,309.48x = 4,975.20 × 2,587.80
  4. Step 4: Simplify right side
    3,309.48x = 12,874,822.56
  5. Step 5: Solve for x
    x = 12,874,822.56/3,309.48
  6. Step 6: Final answer
    x = 3,890.29

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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.