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Finding the Fourth Proportional to 1,906.76, 2,625.68 and 1,865.88

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Solution

The fourth proportional to 1,906.76, 2,625.68 and 1,865.88 is: 2,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.76 : 2,625.68 = 1,865.88 : x
  2. Step 2: Convert to fraction form
    1,906.76/2,625.68 = 1,865.88/x
  3. Step 3: Cross multiply
    1,906.76x = 2,625.68 × 1,865.88
  4. Step 4: Simplify right side
    1,906.76x = 4,899,203.80
  5. Step 5: Solve for x
    x = 4,899,203.80/1,906.76
  6. Step 6: Final answer
    x = 2,569.39

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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.