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Finding the Fourth Proportional to 6,490.76, 9,733.44 and 2,791.04

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Solution

The fourth proportional to 6,490.76, 9,733.44 and 2,791.04 is: 4,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.76 : 9,733.44 = 2,791.04 : x
  2. Step 2: Convert to fraction form
    6,490.76/9,733.44 = 2,791.04/x
  3. Step 3: Cross multiply
    6,490.76x = 9,733.44 × 2,791.04
  4. Step 4: Simplify right side
    6,490.76x = 27,166,420.38
  5. Step 5: Solve for x
    x = 27,166,420.38/6,490.76
  6. Step 6: Final answer
    x = 4,185.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.