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Finding the Fourth Proportional to 11,918.64, 17,879.76 and 4,424.64

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Solution

The fourth proportional to 11,918.64, 17,879.76 and 4,424.64 is: 6,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.64 : 17,879.76 = 4,424.64 : x
  2. Step 2: Convert to fraction form
    11,918.64/17,879.76 = 4,424.64/x
  3. Step 3: Cross multiply
    11,918.64x = 17,879.76 × 4,424.64
  4. Step 4: Simplify right side
    11,918.64x = 79,111,501.29
  5. Step 5: Solve for x
    x = 79,111,501.29/11,918.64
  6. Step 6: Final answer
    x = 6,637.63

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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.