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Finding the Fourth Proportional to 2,797.12, 3,860.13 and 1,555.12

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Solution

The fourth proportional to 2,797.12, 3,860.13 and 1,555.12 is: 2,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.12 : 3,860.13 = 1,555.12 : x
  2. Step 2: Convert to fraction form
    2,797.12/3,860.13 = 1,555.12/x
  3. Step 3: Cross multiply
    2,797.12x = 3,860.13 × 1,555.12
  4. Step 4: Simplify right side
    2,797.12x = 6,002,965.37
  5. Step 5: Solve for x
    x = 6,002,965.37/2,797.12
  6. Step 6: Final answer
    x = 2,146.12

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Half scale
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Find fourth proportional to 2,798.12, 3,861.51 and 1,556.12
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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.