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Finding the Fourth Proportional to 4,957, 6,838.74 and 3,165.16

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Solution

The fourth proportional to 4,957, 6,838.74 and 3,165.16 is: 4,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957 : 6,838.74 = 3,165.16 : x
  2. Step 2: Convert to fraction form
    4,957/6,838.74 = 3,165.16/x
  3. Step 3: Cross multiply
    4,957x = 6,838.74 × 3,165.16
  4. Step 4: Simplify right side
    4,957x = 21,645,706.30
  5. Step 5: Solve for x
    x = 21,645,706.30/4,957
  6. Step 6: Final answer
    x = 4,366.69

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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.