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Finding the Fourth Proportional to 7,855.67, 11,782.16 and 2,590.74

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Solution

The fourth proportional to 7,855.67, 11,782.16 and 2,590.74 is: 3,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.67 : 11,782.16 = 2,590.74 : x
  2. Step 2: Convert to fraction form
    7,855.67/11,782.16 = 2,590.74/x
  3. Step 3: Cross multiply
    7,855.67x = 11,782.16 × 2,590.74
  4. Step 4: Simplify right side
    7,855.67x = 30,524,519.68
  5. Step 5: Solve for x
    x = 30,524,519.68/7,855.67
  6. Step 6: Final answer
    x = 3,885.67

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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.