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Finding the Fourth Proportional to 2,870, 3,959.99 and 1,690.64

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Solution

The fourth proportional to 2,870, 3,959.99 and 1,690.64 is: 2,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870 : 3,959.99 = 1,690.64 : x
  2. Step 2: Convert to fraction form
    2,870/3,959.99 = 1,690.64/x
  3. Step 3: Cross multiply
    2,870x = 3,959.99 × 1,690.64
  4. Step 4: Simplify right side
    2,870x = 6,694,917.49
  5. Step 5: Solve for x
    x = 6,694,917.49/2,870
  6. Step 6: Final answer
    x = 2,332.72

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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.