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Finding the Fourth Proportional to 3,406.64, 5,109.98 and 941.40

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Solution

The fourth proportional to 3,406.64, 5,109.98 and 941.40 is: 1,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.64 : 5,109.98 = 941.40 : x
  2. Step 2: Convert to fraction form
    3,406.64/5,109.98 = 941.40/x
  3. Step 3: Cross multiply
    3,406.64x = 5,109.98 × 941.40
  4. Step 4: Simplify right side
    3,406.64x = 4,810,530.47
  5. Step 5: Solve for x
    x = 4,810,530.47/3,406.64
  6. Step 6: Final answer
    x = 1,412.11

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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.