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Finding the Fourth Proportional to 2,672.84, 3,687.12 and 1,676.24

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Solution

The fourth proportional to 2,672.84, 3,687.12 and 1,676.24 is: 2,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.84 : 3,687.12 = 1,676.24 : x
  2. Step 2: Convert to fraction form
    2,672.84/3,687.12 = 1,676.24/x
  3. Step 3: Cross multiply
    2,672.84x = 3,687.12 × 1,676.24
  4. Step 4: Simplify right side
    2,672.84x = 6,180,498.03
  5. Step 5: Solve for x
    x = 6,180,498.03/2,672.84
  6. Step 6: Final answer
    x = 2,312.33

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Half scale
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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.