Home / 8,289.75-12,432-2,742.06

Finding the Fourth Proportional to 8,289.75, 12,432 and 2,742.06

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Solution

The fourth proportional to 8,289.75, 12,432 and 2,742.06 is: 4,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.75 : 12,432 = 2,742.06 : x
  2. Step 2: Convert to fraction form
    8,289.75/12,432 = 2,742.06/x
  3. Step 3: Cross multiply
    8,289.75x = 12,432 × 2,742.06
  4. Step 4: Simplify right side
    8,289.75x = 34,089,289.92
  5. Step 5: Solve for x
    x = 34,089,289.92/8,289.75
  6. Step 6: Final answer
    x = 4,112.22

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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.