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Finding the Fourth Proportional to 11,970, 16,518.48 and 6,664.68

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Solution

The fourth proportional to 11,970, 16,518.48 and 6,664.68 is: 9,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 16,518.48 = 6,664.68 : x
  2. Step 2: Convert to fraction form
    11,970/16,518.48 = 6,664.68/x
  3. Step 3: Cross multiply
    11,970x = 16,518.48 × 6,664.68
  4. Step 4: Simplify right side
    11,970x = 110,090,383.29
  5. Step 5: Solve for x
    x = 110,090,383.29/11,970
  6. Step 6: Final answer
    x = 9,197.19

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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.