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Finding the Fourth Proportional to 2,105.99, 3,159.45 and 645.02

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Solution

The fourth proportional to 2,105.99, 3,159.45 and 645.02 is: 967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.99 : 3,159.45 = 645.02 : x
  2. Step 2: Convert to fraction form
    2,105.99/3,159.45 = 645.02/x
  3. Step 3: Cross multiply
    2,105.99x = 3,159.45 × 645.02
  4. Step 4: Simplify right side
    2,105.99x = 2,037,908.44
  5. Step 5: Solve for x
    x = 2,037,908.44/2,105.99
  6. Step 6: Final answer
    x = 967.67

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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.