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Finding the Fourth Proportional to 7,388, 11,074.68 and 3,485.48

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Solution

The fourth proportional to 7,388, 11,074.68 and 3,485.48 is: 5,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388 : 11,074.68 = 3,485.48 : x
  2. Step 2: Convert to fraction form
    7,388/11,074.68 = 3,485.48/x
  3. Step 3: Cross multiply
    7,388x = 11,074.68 × 3,485.48
  4. Step 4: Simplify right side
    7,388x = 38,600,575.65
  5. Step 5: Solve for x
    x = 38,600,575.65/7,388
  6. Step 6: Final answer
    x = 5,224.77

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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.