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Finding the Fourth Proportional to 2,989, 4,453.79 and 2,661.85

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Solution

The fourth proportional to 2,989, 4,453.79 and 2,661.85 is: 3,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989 : 4,453.79 = 2,661.85 : x
  2. Step 2: Convert to fraction form
    2,989/4,453.79 = 2,661.85/x
  3. Step 3: Cross multiply
    2,989x = 4,453.79 × 2,661.85
  4. Step 4: Simplify right side
    2,989x = 11,855,320.91
  5. Step 5: Solve for x
    x = 11,855,320.91/2,989
  6. Step 6: Final answer
    x = 3,966.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.