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Finding the Fourth Proportional to 2,109.14, 3,165.12 and 741.14

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Solution

The fourth proportional to 2,109.14, 3,165.12 and 741.14 is: 1,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.14 : 3,165.12 = 741.14 : x
  2. Step 2: Convert to fraction form
    2,109.14/3,165.12 = 741.14/x
  3. Step 3: Cross multiply
    2,109.14x = 3,165.12 × 741.14
  4. Step 4: Simplify right side
    2,109.14x = 2,345,797.04
  5. Step 5: Solve for x
    x = 2,345,797.04/2,109.14
  6. Step 6: Final answer
    x = 1,112.21

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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.