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Finding the Fourth Proportional to 2,838.66, 3,917.38 and 1,659.50

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Solution

The fourth proportional to 2,838.66, 3,917.38 and 1,659.50 is: 2,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.66 : 3,917.38 = 1,659.50 : x
  2. Step 2: Convert to fraction form
    2,838.66/3,917.38 = 1,659.50/x
  3. Step 3: Cross multiply
    2,838.66x = 3,917.38 × 1,659.50
  4. Step 4: Simplify right side
    2,838.66x = 6,500,892.11
  5. Step 5: Solve for x
    x = 6,500,892.11/2,838.66
  6. Step 6: Final answer
    x = 2,290.13

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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.