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Finding the Fourth Proportional to 2,847, 3,922.76 and 1,913.88

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Solution

The fourth proportional to 2,847, 3,922.76 and 1,913.88 is: 2,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847 : 3,922.76 = 1,913.88 : x
  2. Step 2: Convert to fraction form
    2,847/3,922.76 = 1,913.88/x
  3. Step 3: Cross multiply
    2,847x = 3,922.76 × 1,913.88
  4. Step 4: Simplify right side
    2,847x = 7,507,691.91
  5. Step 5: Solve for x
    x = 7,507,691.91/2,847
  6. Step 6: Final answer
    x = 2,637.05

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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.