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Finding the Fourth Proportional to 2,783.12, 3,836.04 and 2,221.79

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Solution

The fourth proportional to 2,783.12, 3,836.04 and 2,221.79 is: 3,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.12 : 3,836.04 = 2,221.79 : x
  2. Step 2: Convert to fraction form
    2,783.12/3,836.04 = 2,221.79/x
  3. Step 3: Cross multiply
    2,783.12x = 3,836.04 × 2,221.79
  4. Step 4: Simplify right side
    2,783.12x = 8,522,875.31
  5. Step 5: Solve for x
    x = 8,522,875.31/2,783.12
  6. Step 6: Final answer
    x = 3,062.35

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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.