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Finding the Fourth Proportional to 2,106.81, 3,160.62 and 645.71

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Solution

The fourth proportional to 2,106.81, 3,160.62 and 645.71 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.81 : 3,160.62 = 645.71 : x
  2. Step 2: Convert to fraction form
    2,106.81/3,160.62 = 645.71/x
  3. Step 3: Cross multiply
    2,106.81x = 3,160.62 × 645.71
  4. Step 4: Simplify right side
    2,106.81x = 2,040,828.14
  5. Step 5: Solve for x
    x = 2,040,828.14/2,106.81
  6. Step 6: Final answer
    x = 968.68

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1.5x scale

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.