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Finding the Fourth Proportional to 2,107.44, 3,161.68 and 646.60

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Solution

The fourth proportional to 2,107.44, 3,161.68 and 646.60 is: 970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.44 : 3,161.68 = 646.60 : x
  2. Step 2: Convert to fraction form
    2,107.44/3,161.68 = 646.60/x
  3. Step 3: Cross multiply
    2,107.44x = 3,161.68 × 646.60
  4. Step 4: Simplify right side
    2,107.44x = 2,044,342.29
  5. Step 5: Solve for x
    x = 2,044,342.29/2,107.44
  6. Step 6: Final answer
    x = 970.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.