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Finding the Fourth Proportional to 2,859.43, 3,946.04 and 1,680.52

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Solution

The fourth proportional to 2,859.43, 3,946.04 and 1,680.52 is: 2,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.43 : 3,946.04 = 1,680.52 : x
  2. Step 2: Convert to fraction form
    2,859.43/3,946.04 = 1,680.52/x
  3. Step 3: Cross multiply
    2,859.43x = 3,946.04 × 1,680.52
  4. Step 4: Simplify right side
    2,859.43x = 6,631,399.14
  5. Step 5: Solve for x
    x = 6,631,399.14/2,859.43
  6. Step 6: Final answer
    x = 2,319.13

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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.