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Finding the Fourth Proportional to 3,101.63, 4,653.79 and 1,153.49

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Solution

The fourth proportional to 3,101.63, 4,653.79 and 1,153.49 is: 1,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.63 : 4,653.79 = 1,153.49 : x
  2. Step 2: Convert to fraction form
    3,101.63/4,653.79 = 1,153.49/x
  3. Step 3: Cross multiply
    3,101.63x = 4,653.79 × 1,153.49
  4. Step 4: Simplify right side
    3,101.63x = 5,368,074.07
  5. Step 5: Solve for x
    x = 5,368,074.07/3,101.63
  6. Step 6: Final answer
    x = 1,730.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.