Home / 5,120.32-7,677.74-1,609.67

Finding the Fourth Proportional to 5,120.32, 7,677.74 and 1,609.67

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Solution

The fourth proportional to 5,120.32, 7,677.74 and 1,609.67 is: 2,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.32 : 7,677.74 = 1,609.67 : x
  2. Step 2: Convert to fraction form
    5,120.32/7,677.74 = 1,609.67/x
  3. Step 3: Cross multiply
    5,120.32x = 7,677.74 × 1,609.67
  4. Step 4: Simplify right side
    5,120.32x = 12,358,627.75
  5. Step 5: Solve for x
    x = 12,358,627.75/5,120.32
  6. Step 6: Final answer
    x = 2,413.64

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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.