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Finding the Fourth Proportional to 2,805.97, 3,870.99 and 1,966.36

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Solution

The fourth proportional to 2,805.97, 3,870.99 and 1,966.36 is: 2,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.97 : 3,870.99 = 1,966.36 : x
  2. Step 2: Convert to fraction form
    2,805.97/3,870.99 = 1,966.36/x
  3. Step 3: Cross multiply
    2,805.97x = 3,870.99 × 1,966.36
  4. Step 4: Simplify right side
    2,805.97x = 7,611,773.81
  5. Step 5: Solve for x
    x = 7,611,773.81/2,805.97
  6. Step 6: Final answer
    x = 2,712.71

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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.