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Finding the Fourth Proportional to 2,112.64, 2,921.28 and 1,820.80

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Solution

The fourth proportional to 2,112.64, 2,921.28 and 1,820.80 is: 2,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.64 : 2,921.28 = 1,820.80 : x
  2. Step 2: Convert to fraction form
    2,112.64/2,921.28 = 1,820.80/x
  3. Step 3: Cross multiply
    2,112.64x = 2,921.28 × 1,820.80
  4. Step 4: Simplify right side
    2,112.64x = 5,319,066.62
  5. Step 5: Solve for x
    x = 5,319,066.62/2,112.64
  6. Step 6: Final answer
    x = 2,517.73

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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.