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Finding the Fourth Proportional to 16,505.12, 22,776.66 and 9,431.09

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Solution

The fourth proportional to 16,505.12, 22,776.66 and 9,431.09 is: 13,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.12 : 22,776.66 = 9,431.09 : x
  2. Step 2: Convert to fraction form
    16,505.12/22,776.66 = 9,431.09/x
  3. Step 3: Cross multiply
    16,505.12x = 22,776.66 × 9,431.09
  4. Step 4: Simplify right side
    16,505.12x = 214,808,701.89
  5. Step 5: Solve for x
    x = 214,808,701.89/16,505.12
  6. Step 6: Final answer
    x = 13,014.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.