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Finding the Fourth Proportional to 2,106.66, 3,159.96 and 645.78

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Solution

The fourth proportional to 2,106.66, 3,159.96 and 645.78 is: 968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.66 : 3,159.96 = 645.78 : x
  2. Step 2: Convert to fraction form
    2,106.66/3,159.96 = 645.78/x
  3. Step 3: Cross multiply
    2,106.66x = 3,159.96 × 645.78
  4. Step 4: Simplify right side
    2,106.66x = 2,040,638.97
  5. Step 5: Solve for x
    x = 2,040,638.97/2,106.66
  6. Step 6: Final answer
    x = 968.66

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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.