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Finding the Fourth Proportional to 2,296.77, 3,169.74 and 1,302.12

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Solution

The fourth proportional to 2,296.77, 3,169.74 and 1,302.12 is: 1,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.77 : 3,169.74 = 1,302.12 : x
  2. Step 2: Convert to fraction form
    2,296.77/3,169.74 = 1,302.12/x
  3. Step 3: Cross multiply
    2,296.77x = 3,169.74 × 1,302.12
  4. Step 4: Simplify right side
    2,296.77x = 4,127,381.85
  5. Step 5: Solve for x
    x = 4,127,381.85/2,296.77
  6. Step 6: Final answer
    x = 1,797.04

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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.