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Finding the Fourth Proportional to 2,106.63, 3,159.36 and 644.97

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Solution

The fourth proportional to 2,106.63, 3,159.36 and 644.97 is: 967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.63 : 3,159.36 = 644.97 : x
  2. Step 2: Convert to fraction form
    2,106.63/3,159.36 = 644.97/x
  3. Step 3: Cross multiply
    2,106.63x = 3,159.36 × 644.97
  4. Step 4: Simplify right side
    2,106.63x = 2,037,692.42
  5. Step 5: Solve for x
    x = 2,037,692.42/2,106.63
  6. Step 6: Final answer
    x = 967.28

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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.