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Finding the Fourth Proportional to 2,664.50, 3,679.34 and 1,671.49

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Solution

The fourth proportional to 2,664.50, 3,679.34 and 1,671.49 is: 2,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.50 : 3,679.34 = 1,671.49 : x
  2. Step 2: Convert to fraction form
    2,664.50/3,679.34 = 1,671.49/x
  3. Step 3: Cross multiply
    2,664.50x = 3,679.34 × 1,671.49
  4. Step 4: Simplify right side
    2,664.50x = 6,149,962.46
  5. Step 5: Solve for x
    x = 6,149,962.46/2,664.50
  6. Step 6: Final answer
    x = 2,308.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.