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Finding the Fourth Proportional to 4,877, 6,730.26 and 2,669

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Solution

The fourth proportional to 4,877, 6,730.26 and 2,669 is: 3,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877 : 6,730.26 = 2,669 : x
  2. Step 2: Convert to fraction form
    4,877/6,730.26 = 2,669/x
  3. Step 3: Cross multiply
    4,877x = 6,730.26 × 2,669
  4. Step 4: Simplify right side
    4,877x = 17,963,063.94
  5. Step 5: Solve for x
    x = 17,963,063.94/4,877
  6. Step 6: Final answer
    x = 3,683.22

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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.