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Finding the Fourth Proportional to 13,672.56, 20,511 and 4,790.36

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Solution

The fourth proportional to 13,672.56, 20,511 and 4,790.36 is: 7,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.56 : 20,511 = 4,790.36 : x
  2. Step 2: Convert to fraction form
    13,672.56/20,511 = 4,790.36/x
  3. Step 3: Cross multiply
    13,672.56x = 20,511 × 4,790.36
  4. Step 4: Simplify right side
    13,672.56x = 98,255,073.96
  5. Step 5: Solve for x
    x = 98,255,073.96/13,672.56
  6. Step 6: Final answer
    x = 7,186.30

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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.