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Finding the Fourth Proportional to 2,166.95, 2,990.62 and 1,282.84

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Solution

The fourth proportional to 2,166.95, 2,990.62 and 1,282.84 is: 1,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.95 : 2,990.62 = 1,282.84 : x
  2. Step 2: Convert to fraction form
    2,166.95/2,990.62 = 1,282.84/x
  3. Step 3: Cross multiply
    2,166.95x = 2,990.62 × 1,282.84
  4. Step 4: Simplify right side
    2,166.95x = 3,836,481.09
  5. Step 5: Solve for x
    x = 3,836,481.09/2,166.95
  6. Step 6: Final answer
    x = 1,770.45

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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.