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Finding the Fourth Proportional to 3,586.77, 4,936.26 and 3,034.50

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Solution

The fourth proportional to 3,586.77, 4,936.26 and 3,034.50 is: 4,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.77 : 4,936.26 = 3,034.50 : x
  2. Step 2: Convert to fraction form
    3,586.77/4,936.26 = 3,034.50/x
  3. Step 3: Cross multiply
    3,586.77x = 4,936.26 × 3,034.50
  4. Step 4: Simplify right side
    3,586.77x = 14,979,080.97
  5. Step 5: Solve for x
    x = 14,979,080.97/3,586.77
  6. Step 6: Final answer
    x = 4,176.20

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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.