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Finding the Fourth Proportional to 2,553, 3,524.61 and 1,930.92

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Solution

The fourth proportional to 2,553, 3,524.61 and 1,930.92 is: 2,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553 : 3,524.61 = 1,930.92 : x
  2. Step 2: Convert to fraction form
    2,553/3,524.61 = 1,930.92/x
  3. Step 3: Cross multiply
    2,553x = 3,524.61 × 1,930.92
  4. Step 4: Simplify right side
    2,553x = 6,805,739.94
  5. Step 5: Solve for x
    x = 6,805,739.94/2,553
  6. Step 6: Final answer
    x = 2,665.78

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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.