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Finding the Fourth Proportional to 2,106.59, 3,159.78 and 645.75

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Solution

The fourth proportional to 2,106.59, 3,159.78 and 645.75 is: 968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.59 : 3,159.78 = 645.75 : x
  2. Step 2: Convert to fraction form
    2,106.59/3,159.78 = 645.75/x
  3. Step 3: Cross multiply
    2,106.59x = 3,159.78 × 645.75
  4. Step 4: Simplify right side
    2,106.59x = 2,040,427.94
  5. Step 5: Solve for x
    x = 2,040,427.94/2,106.59
  6. Step 6: Final answer
    x = 968.60

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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.