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Finding the Fourth Proportional to 2,881.82, 3,977.43 and 2,259.74

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Solution

The fourth proportional to 2,881.82, 3,977.43 and 2,259.74 is: 3,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.82 : 3,977.43 = 2,259.74 : x
  2. Step 2: Convert to fraction form
    2,881.82/3,977.43 = 2,259.74/x
  3. Step 3: Cross multiply
    2,881.82x = 3,977.43 × 2,259.74
  4. Step 4: Simplify right side
    2,881.82x = 8,987,957.67
  5. Step 5: Solve for x
    x = 8,987,957.67/2,881.82
  6. Step 6: Final answer
    x = 3,118.85

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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.