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Finding the Fourth Proportional to 13,309, 18,373.62 and 8,005

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Solution

The fourth proportional to 13,309, 18,373.62 and 8,005 is: 11,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309 : 18,373.62 = 8,005 : x
  2. Step 2: Convert to fraction form
    13,309/18,373.62 = 8,005/x
  3. Step 3: Cross multiply
    13,309x = 18,373.62 × 8,005
  4. Step 4: Simplify right side
    13,309x = 147,080,828.10
  5. Step 5: Solve for x
    x = 147,080,828.10/13,309
  6. Step 6: Final answer
    x = 11,051.23

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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.