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Finding the Fourth Proportional to 3,407.40, 5,109.90 and 1,098.12

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Solution

The fourth proportional to 3,407.40, 5,109.90 and 1,098.12 is: 1,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.40 : 5,109.90 = 1,098.12 : x
  2. Step 2: Convert to fraction form
    3,407.40/5,109.90 = 1,098.12/x
  3. Step 3: Cross multiply
    3,407.40x = 5,109.90 × 1,098.12
  4. Step 4: Simplify right side
    3,407.40x = 5,611,283.39
  5. Step 5: Solve for x
    x = 5,611,283.39/3,407.40
  6. Step 6: Final answer
    x = 1,646.79

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1.5x scale

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.