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Finding the Fourth Proportional to 3,271.30, 4,906.95 and 806.10

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Solution

The fourth proportional to 3,271.30, 4,906.95 and 806.10 is: 1,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.30 : 4,906.95 = 806.10 : x
  2. Step 2: Convert to fraction form
    3,271.30/4,906.95 = 806.10/x
  3. Step 3: Cross multiply
    3,271.30x = 4,906.95 × 806.10
  4. Step 4: Simplify right side
    3,271.30x = 3,955,492.40
  5. Step 5: Solve for x
    x = 3,955,492.40/3,271.30
  6. Step 6: Final answer
    x = 1,209.15

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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.