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Finding the Fourth Proportional to 6,838.92, 10,258.38 and 1,644.80

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Solution

The fourth proportional to 6,838.92, 10,258.38 and 1,644.80 is: 2,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.92 : 10,258.38 = 1,644.80 : x
  2. Step 2: Convert to fraction form
    6,838.92/10,258.38 = 1,644.80/x
  3. Step 3: Cross multiply
    6,838.92x = 10,258.38 × 1,644.80
  4. Step 4: Simplify right side
    6,838.92x = 16,872,932.13
  5. Step 5: Solve for x
    x = 16,872,932.13/6,838.92
  6. Step 6: Final answer
    x = 2,467.19

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1.5x scale

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.