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Finding the Fourth Proportional to 2,797.96, 4,199.04 and 2,256.64

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Solution

The fourth proportional to 2,797.96, 4,199.04 and 2,256.64 is: 3,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.96 : 4,199.04 = 2,256.64 : x
  2. Step 2: Convert to fraction form
    2,797.96/4,199.04 = 2,256.64/x
  3. Step 3: Cross multiply
    2,797.96x = 4,199.04 × 2,256.64
  4. Step 4: Simplify right side
    2,797.96x = 9,475,721.63
  5. Step 5: Solve for x
    x = 9,475,721.63/2,797.96
  6. Step 6: Final answer
    x = 3,386.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.