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Finding the Fourth Proportional to 2,860.36, 3,967.49 and 2,784.49

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Solution

The fourth proportional to 2,860.36, 3,967.49 and 2,784.49 is: 3,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.36 : 3,967.49 = 2,784.49 : x
  2. Step 2: Convert to fraction form
    2,860.36/3,967.49 = 2,784.49/x
  3. Step 3: Cross multiply
    2,860.36x = 3,967.49 × 2,784.49
  4. Step 4: Simplify right side
    2,860.36x = 11,047,433.27
  5. Step 5: Solve for x
    x = 11,047,433.27/2,860.36
  6. Step 6: Final answer
    x = 3,862.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.