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Finding the Fourth Proportional to 2,165.02, 2,986.91 and 1,233.02

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Solution

The fourth proportional to 2,165.02, 2,986.91 and 1,233.02 is: 1,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.02 : 2,986.91 = 1,233.02 : x
  2. Step 2: Convert to fraction form
    2,165.02/2,986.91 = 1,233.02/x
  3. Step 3: Cross multiply
    2,165.02x = 2,986.91 × 1,233.02
  4. Step 4: Simplify right side
    2,165.02x = 3,682,919.77
  5. Step 5: Solve for x
    x = 3,682,919.77/2,165.02
  6. Step 6: Final answer
    x = 1,701.10

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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.