Home / 7,828.12-11,742.27-1,984.58

Finding the Fourth Proportional to 7,828.12, 11,742.27 and 1,984.58

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Solution

The fourth proportional to 7,828.12, 11,742.27 and 1,984.58 is: 2,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.12 : 11,742.27 = 1,984.58 : x
  2. Step 2: Convert to fraction form
    7,828.12/11,742.27 = 1,984.58/x
  3. Step 3: Cross multiply
    7,828.12x = 11,742.27 × 1,984.58
  4. Step 4: Simplify right side
    7,828.12x = 23,303,474.20
  5. Step 5: Solve for x
    x = 23,303,474.20/7,828.12
  6. Step 6: Final answer
    x = 2,976.89

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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.