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Finding the Fourth Proportional to 3,312.21, 4,968.21 and 1,231.41

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Solution

The fourth proportional to 3,312.21, 4,968.21 and 1,231.41 is: 1,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.21 : 4,968.21 = 1,231.41 : x
  2. Step 2: Convert to fraction form
    3,312.21/4,968.21 = 1,231.41/x
  3. Step 3: Cross multiply
    3,312.21x = 4,968.21 × 1,231.41
  4. Step 4: Simplify right side
    3,312.21x = 6,117,903.48
  5. Step 5: Solve for x
    x = 6,117,903.48/3,312.21
  6. Step 6: Final answer
    x = 1,847.08

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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.