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Finding the Fourth Proportional to 2,021.79, 2,783.06 and 1,742.95

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Solution

The fourth proportional to 2,021.79, 2,783.06 and 1,742.95 is: 2,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.79 : 2,783.06 = 1,742.95 : x
  2. Step 2: Convert to fraction form
    2,021.79/2,783.06 = 1,742.95/x
  3. Step 3: Cross multiply
    2,021.79x = 2,783.06 × 1,742.95
  4. Step 4: Simplify right side
    2,021.79x = 4,850,735.73
  5. Step 5: Solve for x
    x = 4,850,735.73/2,021.79
  6. Step 6: Final answer
    x = 2,399.22

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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.