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Finding the Fourth Proportional to 3,407.87, 5,109.03 and 1,326.80

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Solution

The fourth proportional to 3,407.87, 5,109.03 and 1,326.80 is: 1,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.87 : 5,109.03 = 1,326.80 : x
  2. Step 2: Convert to fraction form
    3,407.87/5,109.03 = 1,326.80/x
  3. Step 3: Cross multiply
    3,407.87x = 5,109.03 × 1,326.80
  4. Step 4: Simplify right side
    3,407.87x = 6,778,635.46
  5. Step 5: Solve for x
    x = 6,778,635.46/3,407.87
  6. Step 6: Final answer
    x = 1,989.12

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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.