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Finding the Fourth Proportional to 9,134.65, 13,703.40 and 3,869.67

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Solution

The fourth proportional to 9,134.65, 13,703.40 and 3,869.67 is: 5,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.65 : 13,703.40 = 3,869.67 : x
  2. Step 2: Convert to fraction form
    9,134.65/13,703.40 = 3,869.67/x
  3. Step 3: Cross multiply
    9,134.65x = 13,703.40 × 3,869.67
  4. Step 4: Simplify right side
    9,134.65x = 53,027,635.88
  5. Step 5: Solve for x
    x = 53,027,635.88/9,134.65
  6. Step 6: Final answer
    x = 5,805.11

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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.