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Finding the Fourth Proportional to 2,274.64, 3,138.20 and 1,489.12

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Solution

The fourth proportional to 2,274.64, 3,138.20 and 1,489.12 is: 2,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.64 : 3,138.20 = 1,489.12 : x
  2. Step 2: Convert to fraction form
    2,274.64/3,138.20 = 1,489.12/x
  3. Step 3: Cross multiply
    2,274.64x = 3,138.20 × 1,489.12
  4. Step 4: Simplify right side
    2,274.64x = 4,673,156.38
  5. Step 5: Solve for x
    x = 4,673,156.38/2,274.64
  6. Step 6: Final answer
    x = 2,054.46

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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.