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Finding the Fourth Proportional to 4,976.92, 6,869.10 and 2,881

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Solution

The fourth proportional to 4,976.92, 6,869.10 and 2,881 is: 3,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.92 : 6,869.10 = 2,881 : x
  2. Step 2: Convert to fraction form
    4,976.92/6,869.10 = 2,881/x
  3. Step 3: Cross multiply
    4,976.92x = 6,869.10 × 2,881
  4. Step 4: Simplify right side
    4,976.92x = 19,789,877.10
  5. Step 5: Solve for x
    x = 19,789,877.10/4,976.92
  6. Step 6: Final answer
    x = 3,976.33

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1.5x scale

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.