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Finding the Fourth Proportional to 1,516.79, 2,092.79 and 1,163.07

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Solution

The fourth proportional to 1,516.79, 2,092.79 and 1,163.07 is: 1,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.79 : 2,092.79 = 1,163.07 : x
  2. Step 2: Convert to fraction form
    1,516.79/2,092.79 = 1,163.07/x
  3. Step 3: Cross multiply
    1,516.79x = 2,092.79 × 1,163.07
  4. Step 4: Simplify right side
    1,516.79x = 2,434,055.45
  5. Step 5: Solve for x
    x = 2,434,055.45/1,516.79
  6. Step 6: Final answer
    x = 1,604.75

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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.