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Finding the Fourth Proportional to 11,580, 15,993.60 and 7,847.52

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Solution

The fourth proportional to 11,580, 15,993.60 and 7,847.52 is: 10,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580 : 15,993.60 = 7,847.52 : x
  2. Step 2: Convert to fraction form
    11,580/15,993.60 = 7,847.52/x
  3. Step 3: Cross multiply
    11,580x = 15,993.60 × 7,847.52
  4. Step 4: Simplify right side
    11,580x = 125,510,095.87
  5. Step 5: Solve for x
    x = 125,510,095.87/11,580
  6. Step 6: Final answer
    x = 10,838.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.