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Finding the Fourth Proportional to 13,518.42, 18,653.66 and 8,809.08

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Solution

The fourth proportional to 13,518.42, 18,653.66 and 8,809.08 is: 12,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.42 : 18,653.66 = 8,809.08 : x
  2. Step 2: Convert to fraction form
    13,518.42/18,653.66 = 8,809.08/x
  3. Step 3: Cross multiply
    13,518.42x = 18,653.66 × 8,809.08
  4. Step 4: Simplify right side
    13,518.42x = 164,321,583.23
  5. Step 5: Solve for x
    x = 164,321,583.23/13,518.42
  6. Step 6: Final answer
    x = 12,155.38

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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.