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Finding the Fourth Proportional to 20,262, 30,406.50 and 7,792.32

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Solution

The fourth proportional to 20,262, 30,406.50 and 7,792.32 is: 11,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262 : 30,406.50 = 7,792.32 : x
  2. Step 2: Convert to fraction form
    20,262/30,406.50 = 7,792.32/x
  3. Step 3: Cross multiply
    20,262x = 30,406.50 × 7,792.32
  4. Step 4: Simplify right side
    20,262x = 236,937,178.08
  5. Step 5: Solve for x
    x = 236,937,178.08/20,262
  6. Step 6: Final answer
    x = 11,693.67

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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.