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Finding the Fourth Proportional to 2,167, 2,990.10 and 1,222.84

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Solution

The fourth proportional to 2,167, 2,990.10 and 1,222.84 is: 1,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167 : 2,990.10 = 1,222.84 : x
  2. Step 2: Convert to fraction form
    2,167/2,990.10 = 1,222.84/x
  3. Step 3: Cross multiply
    2,167x = 2,990.10 × 1,222.84
  4. Step 4: Simplify right side
    2,167x = 3,656,413.88
  5. Step 5: Solve for x
    x = 3,656,413.88/2,167
  6. Step 6: Final answer
    x = 1,687.32

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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.