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Finding the Fourth Proportional to 13,054.74, 18,008 and 8,333.70

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Solution

The fourth proportional to 13,054.74, 18,008 and 8,333.70 is: 11,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.74 : 18,008 = 8,333.70 : x
  2. Step 2: Convert to fraction form
    13,054.74/18,008 = 8,333.70/x
  3. Step 3: Cross multiply
    13,054.74x = 18,008 × 8,333.70
  4. Step 4: Simplify right side
    13,054.74x = 150,073,269.60
  5. Step 5: Solve for x
    x = 150,073,269.60/13,054.74
  6. Step 6: Final answer
    x = 11,495.69

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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.