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Finding the Fourth Proportional to 2,975.22, 4,106.43 and 1,980.54

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Solution

The fourth proportional to 2,975.22, 4,106.43 and 1,980.54 is: 2,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.22 : 4,106.43 = 1,980.54 : x
  2. Step 2: Convert to fraction form
    2,975.22/4,106.43 = 1,980.54/x
  3. Step 3: Cross multiply
    2,975.22x = 4,106.43 × 1,980.54
  4. Step 4: Simplify right side
    2,975.22x = 8,132,948.87
  5. Step 5: Solve for x
    x = 8,132,948.87/2,975.22
  6. Step 6: Final answer
    x = 2,733.56

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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.