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Finding the Fourth Proportional to 3,455.90, 4,769.00 and 1,943.42

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Solution

The fourth proportional to 3,455.90, 4,769.00 and 1,943.42 is: 2,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.90 : 4,769.00 = 1,943.42 : x
  2. Step 2: Convert to fraction form
    3,455.90/4,769.00 = 1,943.42/x
  3. Step 3: Cross multiply
    3,455.90x = 4,769.00 × 1,943.42
  4. Step 4: Simplify right side
    3,455.90x = 9,268,136.42
  5. Step 5: Solve for x
    x = 9,268,136.42/3,455.90
  6. Step 6: Final answer
    x = 2,681.83

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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.