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Finding the Fourth Proportional to 2,166.72, 2,989.44 and 1,222.44

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Solution

The fourth proportional to 2,166.72, 2,989.44 and 1,222.44 is: 1,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.72 : 2,989.44 = 1,222.44 : x
  2. Step 2: Convert to fraction form
    2,166.72/2,989.44 = 1,222.44/x
  3. Step 3: Cross multiply
    2,166.72x = 2,989.44 × 1,222.44
  4. Step 4: Simplify right side
    2,166.72x = 3,654,411.03
  5. Step 5: Solve for x
    x = 3,654,411.03/2,166.72
  6. Step 6: Final answer
    x = 1,686.61

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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.