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Finding the Fourth Proportional to 13,581, 20,368.30 and 5,679.32

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Solution

The fourth proportional to 13,581, 20,368.30 and 5,679.32 is: 8,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581 : 20,368.30 = 5,679.32 : x
  2. Step 2: Convert to fraction form
    13,581/20,368.30 = 5,679.32/x
  3. Step 3: Cross multiply
    13,581x = 20,368.30 × 5,679.32
  4. Step 4: Simplify right side
    13,581x = 115,678,093.56
  5. Step 5: Solve for x
    x = 115,678,093.56/13,581
  6. Step 6: Final answer
    x = 8,517.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.