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Finding the Fourth Proportional to 2,869, 3,959.64 and 1,690.72

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Solution

The fourth proportional to 2,869, 3,959.64 and 1,690.72 is: 2,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869 : 3,959.64 = 1,690.72 : x
  2. Step 2: Convert to fraction form
    2,869/3,959.64 = 1,690.72/x
  3. Step 3: Cross multiply
    2,869x = 3,959.64 × 1,690.72
  4. Step 4: Simplify right side
    2,869x = 6,694,642.54
  5. Step 5: Solve for x
    x = 6,694,642.54/2,869
  6. Step 6: Final answer
    x = 2,333.44

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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.