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Finding the Fourth Proportional to 2,106.86, 3,160.60 and 645.80

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Solution

The fourth proportional to 2,106.86, 3,160.60 and 645.80 is: 968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.86 : 3,160.60 = 645.80 : x
  2. Step 2: Convert to fraction form
    2,106.86/3,160.60 = 645.80/x
  3. Step 3: Cross multiply
    2,106.86x = 3,160.60 × 645.80
  4. Step 4: Simplify right side
    2,106.86x = 2,041,115.48
  5. Step 5: Solve for x
    x = 2,041,115.48/2,106.86
  6. Step 6: Final answer
    x = 968.80

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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.