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Finding the Fourth Proportional to 2,166.75, 2,990.16 and 1,282.23

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Solution

The fourth proportional to 2,166.75, 2,990.16 and 1,282.23 is: 1,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 2,990.16 = 1,282.23 : x
  2. Step 2: Convert to fraction form
    2,166.75/2,990.16 = 1,282.23/x
  3. Step 3: Cross multiply
    2,166.75x = 2,990.16 × 1,282.23
  4. Step 4: Simplify right side
    2,166.75x = 3,834,072.86
  5. Step 5: Solve for x
    x = 3,834,072.86/2,166.75
  6. Step 6: Final answer
    x = 1,769.50

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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.