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Finding the Fourth Proportional to 8,720.65, 13,078.65 and 3,789.12

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Solution

The fourth proportional to 8,720.65, 13,078.65 and 3,789.12 is: 5,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.65 : 13,078.65 = 3,789.12 : x
  2. Step 2: Convert to fraction form
    8,720.65/13,078.65 = 3,789.12/x
  3. Step 3: Cross multiply
    8,720.65x = 13,078.65 × 3,789.12
  4. Step 4: Simplify right side
    8,720.65x = 49,556,574.29
  5. Step 5: Solve for x
    x = 49,556,574.29/8,720.65
  6. Step 6: Final answer
    x = 5,682.67

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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.