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Finding the Fourth Proportional to 3,528.78, 4,869.75 and 1,957.02

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Solution

The fourth proportional to 3,528.78, 4,869.75 and 1,957.02 is: 2,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.78 : 4,869.75 = 1,957.02 : x
  2. Step 2: Convert to fraction form
    3,528.78/4,869.75 = 1,957.02/x
  3. Step 3: Cross multiply
    3,528.78x = 4,869.75 × 1,957.02
  4. Step 4: Simplify right side
    3,528.78x = 9,530,198.15
  5. Step 5: Solve for x
    x = 9,530,198.15/3,528.78
  6. Step 6: Final answer
    x = 2,700.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.