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Finding the Fourth Proportional to 2,106.51, 3,160.31 and 645.68

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Solution

The fourth proportional to 2,106.51, 3,160.31 and 645.68 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.51 : 3,160.31 = 645.68 : x
  2. Step 2: Convert to fraction form
    2,106.51/3,160.31 = 645.68/x
  3. Step 3: Cross multiply
    2,106.51x = 3,160.31 × 645.68
  4. Step 4: Simplify right side
    2,106.51x = 2,040,529.93
  5. Step 5: Solve for x
    x = 2,040,529.93/2,106.51
  6. Step 6: Final answer
    x = 968.68

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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.