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Finding the Fourth Proportional to 30,480.96, 45,715.20 and 8,295.84

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Solution

The fourth proportional to 30,480.96, 45,715.20 and 8,295.84 is: 12,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480.96 : 45,715.20 = 8,295.84 : x
  2. Step 2: Convert to fraction form
    30,480.96/45,715.20 = 8,295.84/x
  3. Step 3: Cross multiply
    30,480.96x = 45,715.20 × 8,295.84
  4. Step 4: Simplify right side
    30,480.96x = 379,245,984.77
  5. Step 5: Solve for x
    x = 379,245,984.77/30,480.96
  6. Step 6: Final answer
    x = 12,442.06

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