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Finding the Fourth Proportional to 8,179.80, 12,282 and 4,673.76

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Solution

The fourth proportional to 8,179.80, 12,282 and 4,673.76 is: 7,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.80 : 12,282 = 4,673.76 : x
  2. Step 2: Convert to fraction form
    8,179.80/12,282 = 4,673.76/x
  3. Step 3: Cross multiply
    8,179.80x = 12,282 × 4,673.76
  4. Step 4: Simplify right side
    8,179.80x = 57,403,120.32
  5. Step 5: Solve for x
    x = 57,403,120.32/8,179.80
  6. Step 6: Final answer
    x = 7,017.67

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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.