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Finding the Fourth Proportional to 3,406.88, 5,109.82 and 941.08

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Solution

The fourth proportional to 3,406.88, 5,109.82 and 941.08 is: 1,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.88 : 5,109.82 = 941.08 : x
  2. Step 2: Convert to fraction form
    3,406.88/5,109.82 = 941.08/x
  3. Step 3: Cross multiply
    3,406.88x = 5,109.82 × 941.08
  4. Step 4: Simplify right side
    3,406.88x = 4,808,749.41
  5. Step 5: Solve for x
    x = 4,808,749.41/3,406.88
  6. Step 6: Final answer
    x = 1,411.48

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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.