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Finding the Fourth Proportional to 3,583.68, 5,377.68 and 1,274.88

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Solution

The fourth proportional to 3,583.68, 5,377.68 and 1,274.88 is: 1,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.68 : 5,377.68 = 1,274.88 : x
  2. Step 2: Convert to fraction form
    3,583.68/5,377.68 = 1,274.88/x
  3. Step 3: Cross multiply
    3,583.68x = 5,377.68 × 1,274.88
  4. Step 4: Simplify right side
    3,583.68x = 6,855,896.68
  5. Step 5: Solve for x
    x = 6,855,896.68/3,583.68
  6. Step 6: Final answer
    x = 1,913.09

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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.