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Finding the Fourth Proportional to 13,054, 18,015.60 and 7,466.08

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Solution

The fourth proportional to 13,054, 18,015.60 and 7,466.08 is: 10,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054 : 18,015.60 = 7,466.08 : x
  2. Step 2: Convert to fraction form
    13,054/18,015.60 = 7,466.08/x
  3. Step 3: Cross multiply
    13,054x = 18,015.60 × 7,466.08
  4. Step 4: Simplify right side
    13,054x = 134,505,910.85
  5. Step 5: Solve for x
    x = 134,505,910.85/13,054
  6. Step 6: Final answer
    x = 10,303.81

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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.