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Finding the Fourth Proportional to 13,803.08, 19,048.44 and 8,213

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Solution

The fourth proportional to 13,803.08, 19,048.44 and 8,213 is: 11,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.08 : 19,048.44 = 8,213 : x
  2. Step 2: Convert to fraction form
    13,803.08/19,048.44 = 8,213/x
  3. Step 3: Cross multiply
    13,803.08x = 19,048.44 × 8,213
  4. Step 4: Simplify right side
    13,803.08x = 156,444,837.72
  5. Step 5: Solve for x
    x = 156,444,837.72/13,803.08
  6. Step 6: Final answer
    x = 11,334.05

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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.