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Finding the Fourth Proportional to 2,106.10, 3,159.50 and 644.92

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Solution

The fourth proportional to 2,106.10, 3,159.50 and 644.92 is: 967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.10 : 3,159.50 = 644.92 : x
  2. Step 2: Convert to fraction form
    2,106.10/3,159.50 = 644.92/x
  3. Step 3: Cross multiply
    2,106.10x = 3,159.50 × 644.92
  4. Step 4: Simplify right side
    2,106.10x = 2,037,624.74
  5. Step 5: Solve for x
    x = 2,037,624.74/2,106.10
  6. Step 6: Final answer
    x = 967.49

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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.