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Finding the Fourth Proportional to 2,661.96, 3,675 and 2,071.20

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Solution

The fourth proportional to 2,661.96, 3,675 and 2,071.20 is: 2,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.96 : 3,675 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    2,661.96/3,675 = 2,071.20/x
  3. Step 3: Cross multiply
    2,661.96x = 3,675 × 2,071.20
  4. Step 4: Simplify right side
    2,661.96x = 7,611,660.00
  5. Step 5: Solve for x
    x = 7,611,660.00/2,661.96
  6. Step 6: Final answer
    x = 2,859.42

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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.