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Finding the Fourth Proportional to 4,983.91, 6,878.04 and 2,859.78

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Solution

The fourth proportional to 4,983.91, 6,878.04 and 2,859.78 is: 3,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.91 : 6,878.04 = 2,859.78 : x
  2. Step 2: Convert to fraction form
    4,983.91/6,878.04 = 2,859.78/x
  3. Step 3: Cross multiply
    4,983.91x = 6,878.04 × 2,859.78
  4. Step 4: Simplify right side
    4,983.91x = 19,669,681.23
  5. Step 5: Solve for x
    x = 19,669,681.23/4,983.91
  6. Step 6: Final answer
    x = 3,946.64

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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.