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Finding the Fourth Proportional to 3,236, 4,855.76 and 1,288.20

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Solution

The fourth proportional to 3,236, 4,855.76 and 1,288.20 is: 1,933.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236 : 4,855.76 = 1,288.20 : x
  2. Step 2: Convert to fraction form
    3,236/4,855.76 = 1,288.20/x
  3. Step 3: Cross multiply
    3,236x = 4,855.76 × 1,288.20
  4. Step 4: Simplify right side
    3,236x = 6,255,190.03
  5. Step 5: Solve for x
    x = 6,255,190.03/3,236
  6. Step 6: Final answer
    x = 1,933.00

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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.