Home / 7,827.74-11,741.81-1,984.80

Finding the Fourth Proportional to 7,827.74, 11,741.81 and 1,984.80

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Solution

The fourth proportional to 7,827.74, 11,741.81 and 1,984.80 is: 2,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.74 : 11,741.81 = 1,984.80 : x
  2. Step 2: Convert to fraction form
    7,827.74/11,741.81 = 1,984.80/x
  3. Step 3: Cross multiply
    7,827.74x = 11,741.81 × 1,984.80
  4. Step 4: Simplify right side
    7,827.74x = 23,305,134.56
  5. Step 5: Solve for x
    x = 23,305,134.56/7,827.74
  6. Step 6: Final answer
    x = 2,977.25

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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.