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Finding the Fourth Proportional to 2,838.63, 3,914.29 and 1,659.48

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Solution

The fourth proportional to 2,838.63, 3,914.29 and 1,659.48 is: 2,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.63 : 3,914.29 = 1,659.48 : x
  2. Step 2: Convert to fraction form
    2,838.63/3,914.29 = 1,659.48/x
  3. Step 3: Cross multiply
    2,838.63x = 3,914.29 × 1,659.48
  4. Step 4: Simplify right side
    2,838.63x = 6,495,685.97
  5. Step 5: Solve for x
    x = 6,495,685.97/2,838.63
  6. Step 6: Final answer
    x = 2,288.32

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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.