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Finding the Fourth Proportional to 3,114.88, 4,673.80 and 1,944.56

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Solution

The fourth proportional to 3,114.88, 4,673.80 and 1,944.56 is: 2,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.88 : 4,673.80 = 1,944.56 : x
  2. Step 2: Convert to fraction form
    3,114.88/4,673.80 = 1,944.56/x
  3. Step 3: Cross multiply
    3,114.88x = 4,673.80 × 1,944.56
  4. Step 4: Simplify right side
    3,114.88x = 9,088,498.64
  5. Step 5: Solve for x
    x = 9,088,498.64/3,114.88
  6. Step 6: Final answer
    x = 2,917.77

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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.