Home / 1,975.86-2,966.49-1,271.16

Finding the Fourth Proportional to 1,975.86, 2,966.49 and 1,271.16

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Solution

The fourth proportional to 1,975.86, 2,966.49 and 1,271.16 is: 1,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.86 : 2,966.49 = 1,271.16 : x
  2. Step 2: Convert to fraction form
    1,975.86/2,966.49 = 1,271.16/x
  3. Step 3: Cross multiply
    1,975.86x = 2,966.49 × 1,271.16
  4. Step 4: Simplify right side
    1,975.86x = 3,770,883.43
  5. Step 5: Solve for x
    x = 3,770,883.43/1,975.86
  6. Step 6: Final answer
    x = 1,908.48

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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.