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Finding the Fourth Proportional to 2,749.40, 3,794.14 and 1,507.40

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Solution

The fourth proportional to 2,749.40, 3,794.14 and 1,507.40 is: 2,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.40 : 3,794.14 = 1,507.40 : x
  2. Step 2: Convert to fraction form
    2,749.40/3,794.14 = 1,507.40/x
  3. Step 3: Cross multiply
    2,749.40x = 3,794.14 × 1,507.40
  4. Step 4: Simplify right side
    2,749.40x = 5,719,286.64
  5. Step 5: Solve for x
    x = 5,719,286.64/2,749.40
  6. Step 6: Final answer
    x = 2,080.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.