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Finding the Fourth Proportional to 2,143.77, 2,958.48 and 1,199.54

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Solution

The fourth proportional to 2,143.77, 2,958.48 and 1,199.54 is: 1,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.77 : 2,958.48 = 1,199.54 : x
  2. Step 2: Convert to fraction form
    2,143.77/2,958.48 = 1,199.54/x
  3. Step 3: Cross multiply
    2,143.77x = 2,958.48 × 1,199.54
  4. Step 4: Simplify right side
    2,143.77x = 3,548,815.10
  5. Step 5: Solve for x
    x = 3,548,815.10/2,143.77
  6. Step 6: Final answer
    x = 1,655.41

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1.5x scale

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.