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Finding the Fourth Proportional to 2,105.90, 3,159.08 and 644.94

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Solution

The fourth proportional to 2,105.90, 3,159.08 and 644.94 is: 967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.90 : 3,159.08 = 644.94 : x
  2. Step 2: Convert to fraction form
    2,105.90/3,159.08 = 644.94/x
  3. Step 3: Cross multiply
    2,105.90x = 3,159.08 × 644.94
  4. Step 4: Simplify right side
    2,105.90x = 2,037,405.55
  5. Step 5: Solve for x
    x = 2,037,405.55/2,105.90
  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.