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Finding the Fourth Proportional to 13,464, 18,581.76 and 7,879.68

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Solution

The fourth proportional to 13,464, 18,581.76 and 7,879.68 is: 10,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464 : 18,581.76 = 7,879.68 : x
  2. Step 2: Convert to fraction form
    13,464/18,581.76 = 7,879.68/x
  3. Step 3: Cross multiply
    13,464x = 18,581.76 × 7,879.68
  4. Step 4: Simplify right side
    13,464x = 146,418,322.64
  5. Step 5: Solve for x
    x = 146,418,322.64/13,464
  6. Step 6: Final answer
    x = 10,874.80

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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.