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Finding the Fourth Proportional to 2,859.84, 3,944.16 and 2,198.32

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Solution

The fourth proportional to 2,859.84, 3,944.16 and 2,198.32 is: 3,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.84 : 3,944.16 = 2,198.32 : x
  2. Step 2: Convert to fraction form
    2,859.84/3,944.16 = 2,198.32/x
  3. Step 3: Cross multiply
    2,859.84x = 3,944.16 × 2,198.32
  4. Step 4: Simplify right side
    2,859.84x = 8,670,525.81
  5. Step 5: Solve for x
    x = 8,670,525.81/2,859.84
  6. Step 6: Final answer
    x = 3,031.82

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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.