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Finding the Fourth Proportional to 2,106.09, 3,159.50 and 644.91

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Solution

The fourth proportional to 2,106.09, 3,159.50 and 644.91 is: 967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.09 : 3,159.50 = 644.91 : x
  2. Step 2: Convert to fraction form
    2,106.09/3,159.50 = 644.91/x
  3. Step 3: Cross multiply
    2,106.09x = 3,159.50 × 644.91
  4. Step 4: Simplify right side
    2,106.09x = 2,037,589.92
  5. Step 5: Solve for x
    x = 2,037,589.92/2,106.09
  6. Step 6: Final answer
    x = 967.48

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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.