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Finding the Fourth Proportional to 4,867.97, 6,718.04 and 2,978.96

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Solution

The fourth proportional to 4,867.97, 6,718.04 and 2,978.96 is: 4,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.97 : 6,718.04 = 2,978.96 : x
  2. Step 2: Convert to fraction form
    4,867.97/6,718.04 = 2,978.96/x
  3. Step 3: Cross multiply
    4,867.97x = 6,718.04 × 2,978.96
  4. Step 4: Simplify right side
    4,867.97x = 20,012,723.95
  5. Step 5: Solve for x
    x = 20,012,723.95/4,867.97
  6. Step 6: Final answer
    x = 4,111.11

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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.