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Finding the Fourth Proportional to 3,613.02, 4,986 and 1,957.02

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Solution

The fourth proportional to 3,613.02, 4,986 and 1,957.02 is: 2,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.02 : 4,986 = 1,957.02 : x
  2. Step 2: Convert to fraction form
    3,613.02/4,986 = 1,957.02/x
  3. Step 3: Cross multiply
    3,613.02x = 4,986 × 1,957.02
  4. Step 4: Simplify right side
    3,613.02x = 9,757,701.72
  5. Step 5: Solve for x
    x = 9,757,701.72/3,613.02
  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.