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Finding the Fourth Proportional to 2,881.97, 3,977.47 and 1,887.49

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Solution

The fourth proportional to 2,881.97, 3,977.47 and 1,887.49 is: 2,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.97 : 3,977.47 = 1,887.49 : x
  2. Step 2: Convert to fraction form
    2,881.97/3,977.47 = 1,887.49/x
  3. Step 3: Cross multiply
    2,881.97x = 3,977.47 × 1,887.49
  4. Step 4: Simplify right side
    2,881.97x = 7,507,434.85
  5. Step 5: Solve for x
    x = 7,507,434.85/2,881.97
  6. Step 6: Final answer
    x = 2,604.97

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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.