Home / 2,002.64-2,763.68-1,163.40

Finding the Fourth Proportional to 2,002.64, 2,763.68 and 1,163.40

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Solution

The fourth proportional to 2,002.64, 2,763.68 and 1,163.40 is: 1,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.64 : 2,763.68 = 1,163.40 : x
  2. Step 2: Convert to fraction form
    2,002.64/2,763.68 = 1,163.40/x
  3. Step 3: Cross multiply
    2,002.64x = 2,763.68 × 1,163.40
  4. Step 4: Simplify right side
    2,002.64x = 3,215,259.50
  5. Step 5: Solve for x
    x = 3,215,259.50/2,002.64
  6. Step 6: Final answer
    x = 1,605.51

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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.