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Finding the Fourth Proportional to 3,197.92, 4,415.04 and 2,312.80

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Solution

The fourth proportional to 3,197.92, 4,415.04 and 2,312.80 is: 3,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.92 : 4,415.04 = 2,312.80 : x
  2. Step 2: Convert to fraction form
    3,197.92/4,415.04 = 2,312.80/x
  3. Step 3: Cross multiply
    3,197.92x = 4,415.04 × 2,312.80
  4. Step 4: Simplify right side
    3,197.92x = 10,211,104.51
  5. Step 5: Solve for x
    x = 10,211,104.51/3,197.92
  6. Step 6: Final answer
    x = 3,193.05

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