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Finding the Fourth Proportional to 2,166.90, 2,990.28 and 1,222.77

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Solution

The fourth proportional to 2,166.90, 2,990.28 and 1,222.77 is: 1,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.90 : 2,990.28 = 1,222.77 : x
  2. Step 2: Convert to fraction form
    2,166.90/2,990.28 = 1,222.77/x
  3. Step 3: Cross multiply
    2,166.90x = 2,990.28 × 1,222.77
  4. Step 4: Simplify right side
    2,166.90x = 3,656,424.68
  5. Step 5: Solve for x
    x = 3,656,424.68/2,166.90
  6. Step 6: Final answer
    x = 1,687.40

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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.