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Finding the Fourth Proportional to 2,989, 4,125.90 and 2,060.20

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Solution

The fourth proportional to 2,989, 4,125.90 and 2,060.20 is: 2,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989 : 4,125.90 = 2,060.20 : x
  2. Step 2: Convert to fraction form
    2,989/4,125.90 = 2,060.20/x
  3. Step 3: Cross multiply
    2,989x = 4,125.90 × 2,060.20
  4. Step 4: Simplify right side
    2,989x = 8,500,179.18
  5. Step 5: Solve for x
    x = 8,500,179.18/2,989
  6. Step 6: Final answer
    x = 2,843.82

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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.