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Finding the Fourth Proportional to 20,314.56, 30,457.53 and 7,824.12

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Solution

The fourth proportional to 20,314.56, 30,457.53 and 7,824.12 is: 11,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.56 : 30,457.53 = 7,824.12 : x
  2. Step 2: Convert to fraction form
    20,314.56/30,457.53 = 7,824.12/x
  3. Step 3: Cross multiply
    20,314.56x = 30,457.53 × 7,824.12
  4. Step 4: Simplify right side
    20,314.56x = 238,303,369.62
  5. Step 5: Solve for x
    x = 238,303,369.62/20,314.56
  6. Step 6: Final answer
    x = 11,730.67

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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.