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Finding the Fourth Proportional to 3,407.80, 5,098.90 and 3,100.60

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Solution

The fourth proportional to 3,407.80, 5,098.90 and 3,100.60 is: 4,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.80 : 5,098.90 = 3,100.60 : x
  2. Step 2: Convert to fraction form
    3,407.80/5,098.90 = 3,100.60/x
  3. Step 3: Cross multiply
    3,407.80x = 5,098.90 × 3,100.60
  4. Step 4: Simplify right side
    3,407.80x = 15,809,649.34
  5. Step 5: Solve for x
    x = 15,809,649.34/3,407.80
  6. Step 6: Final answer
    x = 4,639.25

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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.