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Finding the Fourth Proportional to 2,986.96, 4,122.72 and 1,728.73

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Solution

The fourth proportional to 2,986.96, 4,122.72 and 1,728.73 is: 2,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.96 : 4,122.72 = 1,728.73 : x
  2. Step 2: Convert to fraction form
    2,986.96/4,122.72 = 1,728.73/x
  3. Step 3: Cross multiply
    2,986.96x = 4,122.72 × 1,728.73
  4. Step 4: Simplify right side
    2,986.96x = 7,127,069.75
  5. Step 5: Solve for x
    x = 7,127,069.75/2,986.96
  6. Step 6: Final answer
    x = 2,386.06

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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.