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Finding the Fourth Proportional to 32,212.35, 48,312.81 and 8,520.12

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Solution

The fourth proportional to 32,212.35, 48,312.81 and 8,520.12 is: 12,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.35 : 48,312.81 = 8,520.12 : x
  2. Step 2: Convert to fraction form
    32,212.35/48,312.81 = 8,520.12/x
  3. Step 3: Cross multiply
    32,212.35x = 48,312.81 × 8,520.12
  4. Step 4: Simplify right side
    32,212.35x = 411,630,938.74
  5. Step 5: Solve for x
    x = 411,630,938.74/32,212.35
  6. Step 6: Final answer
    x = 12,778.67

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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.