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Finding the Fourth Proportional to 4,086.54, 6,128.90 and 1,894.99

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Solution

The fourth proportional to 4,086.54, 6,128.90 and 1,894.99 is: 2,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.54 : 6,128.90 = 1,894.99 : x
  2. Step 2: Convert to fraction form
    4,086.54/6,128.90 = 1,894.99/x
  3. Step 3: Cross multiply
    4,086.54x = 6,128.90 × 1,894.99
  4. Step 4: Simplify right side
    4,086.54x = 11,614,178.58
  5. Step 5: Solve for x
    x = 11,614,178.58/4,086.54
  6. Step 6: Final answer
    x = 2,842.06

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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.