Home / 2,106.81-3,160.37-645.77

Finding the Fourth Proportional to 2,106.81, 3,160.37 and 645.77

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Solution

The fourth proportional to 2,106.81, 3,160.37 and 645.77 is: 968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.81 : 3,160.37 = 645.77 : x
  2. Step 2: Convert to fraction form
    2,106.81/3,160.37 = 645.77/x
  3. Step 3: Cross multiply
    2,106.81x = 3,160.37 × 645.77
  4. Step 4: Simplify right side
    2,106.81x = 2,040,872.13
  5. Step 5: Solve for x
    x = 2,040,872.13/2,106.81
  6. Step 6: Final answer
    x = 968.70

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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.