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Finding the Fourth Proportional to 14,511.98, 20,031.10 and 8,228.54

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Solution

The fourth proportional to 14,511.98, 20,031.10 and 8,228.54 is: 11,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.98 : 20,031.10 = 8,228.54 : x
  2. Step 2: Convert to fraction form
    14,511.98/20,031.10 = 8,228.54/x
  3. Step 3: Cross multiply
    14,511.98x = 20,031.10 × 8,228.54
  4. Step 4: Simplify right side
    14,511.98x = 164,826,707.59
  5. Step 5: Solve for x
    x = 164,826,707.59/14,511.98
  6. Step 6: Final answer
    x = 11,357.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.