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Finding the Fourth Proportional to 2,105.68, 3,158.64 and 644.84

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Solution

The fourth proportional to 2,105.68, 3,158.64 and 644.84 is: 967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.68 : 3,158.64 = 644.84 : x
  2. Step 2: Convert to fraction form
    2,105.68/3,158.64 = 644.84/x
  3. Step 3: Cross multiply
    2,105.68x = 3,158.64 × 644.84
  4. Step 4: Simplify right side
    2,105.68x = 2,036,825.31
  5. Step 5: Solve for x
    x = 2,036,825.31/2,105.68
  6. Step 6: Final answer
    x = 967.30

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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.