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Finding the Fourth Proportional to 4,769.80, 6,583.06 and 2,781

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Solution

The fourth proportional to 4,769.80, 6,583.06 and 2,781 is: 3,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.80 : 6,583.06 = 2,781 : x
  2. Step 2: Convert to fraction form
    4,769.80/6,583.06 = 2,781/x
  3. Step 3: Cross multiply
    4,769.80x = 6,583.06 × 2,781
  4. Step 4: Simplify right side
    4,769.80x = 18,307,489.86
  5. Step 5: Solve for x
    x = 18,307,489.86/4,769.80
  6. Step 6: Final answer
    x = 3,838.21

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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.