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Finding the Fourth Proportional to 3,161.04, 4,741.60 and 1,109.04

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Solution

The fourth proportional to 3,161.04, 4,741.60 and 1,109.04 is: 1,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.04 : 4,741.60 = 1,109.04 : x
  2. Step 2: Convert to fraction form
    3,161.04/4,741.60 = 1,109.04/x
  3. Step 3: Cross multiply
    3,161.04x = 4,741.60 × 1,109.04
  4. Step 4: Simplify right side
    3,161.04x = 5,258,624.06
  5. Step 5: Solve for x
    x = 5,258,624.06/3,161.04
  6. Step 6: Final answer
    x = 1,663.57

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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.