Home / 3,161.40-4,742.10-1,109.40

Finding the Fourth Proportional to 3,161.40, 4,742.10 and 1,109.40

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Solution

The fourth proportional to 3,161.40, 4,742.10 and 1,109.40 is: 1,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.40 : 4,742.10 = 1,109.40 : x
  2. Step 2: Convert to fraction form
    3,161.40/4,742.10 = 1,109.40/x
  3. Step 3: Cross multiply
    3,161.40x = 4,742.10 × 1,109.40
  4. Step 4: Simplify right side
    3,161.40x = 5,260,885.74
  5. Step 5: Solve for x
    x = 5,260,885.74/3,161.40
  6. Step 6: Final answer
    x = 1,664.10

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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.