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Finding the Fourth Proportional to 7,580, 11,369.92 and 4,481.60

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Solution

The fourth proportional to 7,580, 11,369.92 and 4,481.60 is: 6,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580 : 11,369.92 = 4,481.60 : x
  2. Step 2: Convert to fraction form
    7,580/11,369.92 = 4,481.60/x
  3. Step 3: Cross multiply
    7,580x = 11,369.92 × 4,481.60
  4. Step 4: Simplify right side
    7,580x = 50,955,433.47
  5. Step 5: Solve for x
    x = 50,955,433.47/7,580
  6. Step 6: Final answer
    x = 6,722.35

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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.