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Finding the Fourth Proportional to 3,405.99, 5,109.15 and 940.75

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Solution

The fourth proportional to 3,405.99, 5,109.15 and 940.75 is: 1,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.99 : 5,109.15 = 940.75 : x
  2. Step 2: Convert to fraction form
    3,405.99/5,109.15 = 940.75/x
  3. Step 3: Cross multiply
    3,405.99x = 5,109.15 × 940.75
  4. Step 4: Simplify right side
    3,405.99x = 4,806,432.86
  5. Step 5: Solve for x
    x = 4,806,432.86/3,405.99
  6. Step 6: Final answer
    x = 1,411.17

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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.