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Finding the Fourth Proportional to 11,879.16, 17,822.80 and 4,485.76

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Solution

The fourth proportional to 11,879.16, 17,822.80 and 4,485.76 is: 6,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.16 : 17,822.80 = 4,485.76 : x
  2. Step 2: Convert to fraction form
    11,879.16/17,822.80 = 4,485.76/x
  3. Step 3: Cross multiply
    11,879.16x = 17,822.80 × 4,485.76
  4. Step 4: Simplify right side
    11,879.16x = 79,948,803.33
  5. Step 5: Solve for x
    x = 79,948,803.33/11,879.16
  6. Step 6: Final answer
    x = 6,730.17

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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.