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Finding the Fourth Proportional to 14,511.75, 21,789.49 and 8,278.80

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Solution

The fourth proportional to 14,511.75, 21,789.49 and 8,278.80 is: 12,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.75 : 21,789.49 = 8,278.80 : x
  2. Step 2: Convert to fraction form
    14,511.75/21,789.49 = 8,278.80/x
  3. Step 3: Cross multiply
    14,511.75x = 21,789.49 × 8,278.80
  4. Step 4: Simplify right side
    14,511.75x = 180,390,829.81
  5. Step 5: Solve for x
    x = 180,390,829.81/14,511.75
  6. Step 6: Final answer
    x = 12,430.67

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1.5x scale

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.