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Finding the Fourth Proportional to 1,854.71, 2,783.43 and 1,493.85

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Solution

The fourth proportional to 1,854.71, 2,783.43 and 1,493.85 is: 2,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.71 : 2,783.43 = 1,493.85 : x
  2. Step 2: Convert to fraction form
    1,854.71/2,783.43 = 1,493.85/x
  3. Step 3: Cross multiply
    1,854.71x = 2,783.43 × 1,493.85
  4. Step 4: Simplify right side
    1,854.71x = 4,158,026.91
  5. Step 5: Solve for x
    x = 4,158,026.91/1,854.71
  6. Step 6: Final answer
    x = 2,241.88

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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.