Home / 7,827.90-11,742.25-1,984.56

Finding the Fourth Proportional to 7,827.90, 11,742.25 and 1,984.56

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Solution

The fourth proportional to 7,827.90, 11,742.25 and 1,984.56 is: 2,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.90 : 11,742.25 = 1,984.56 : x
  2. Step 2: Convert to fraction form
    7,827.90/11,742.25 = 1,984.56/x
  3. Step 3: Cross multiply
    7,827.90x = 11,742.25 × 1,984.56
  4. Step 4: Simplify right side
    7,827.90x = 23,303,199.66
  5. Step 5: Solve for x
    x = 23,303,199.66/7,827.90
  6. Step 6: Final answer
    x = 2,976.94

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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.