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Finding the Fourth Proportional to 2,860.71, 3,943.16 and 2,020.07

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Solution

The fourth proportional to 2,860.71, 3,943.16 and 2,020.07 is: 2,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.71 : 3,943.16 = 2,020.07 : x
  2. Step 2: Convert to fraction form
    2,860.71/3,943.16 = 2,020.07/x
  3. Step 3: Cross multiply
    2,860.71x = 3,943.16 × 2,020.07
  4. Step 4: Simplify right side
    2,860.71x = 7,965,466.55
  5. Step 5: Solve for x
    x = 7,965,466.55/2,860.71
  6. Step 6: Final answer
    x = 2,784.44

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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.