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Finding the Fourth Proportional to 3,161.79, 4,741.86 and 940.11

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Solution

The fourth proportional to 3,161.79, 4,741.86 and 940.11 is: 1,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.79 : 4,741.86 = 940.11 : x
  2. Step 2: Convert to fraction form
    3,161.79/4,741.86 = 940.11/x
  3. Step 3: Cross multiply
    3,161.79x = 4,741.86 × 940.11
  4. Step 4: Simplify right side
    3,161.79x = 4,457,870.00
  5. Step 5: Solve for x
    x = 4,457,870.00/3,161.79
  6. Step 6: Final answer
    x = 1,409.92

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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.