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Finding the Fourth Proportional to 2,755.99, 3,803.95 and 1,577.73

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Solution

The fourth proportional to 2,755.99, 3,803.95 and 1,577.73 is: 2,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.99 : 3,803.95 = 1,577.73 : x
  2. Step 2: Convert to fraction form
    2,755.99/3,803.95 = 1,577.73/x
  3. Step 3: Cross multiply
    2,755.99x = 3,803.95 × 1,577.73
  4. Step 4: Simplify right side
    2,755.99x = 6,001,606.03
  5. Step 5: Solve for x
    x = 6,001,606.03/2,755.99
  6. Step 6: Final answer
    x = 2,177.66

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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.