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Finding the Fourth Proportional to 22,776.48, 31,431.72 and 12,704.76

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Solution

The fourth proportional to 22,776.48, 31,431.72 and 12,704.76 is: 17,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.48 : 31,431.72 = 12,704.76 : x
  2. Step 2: Convert to fraction form
    22,776.48/31,431.72 = 12,704.76/x
  3. Step 3: Cross multiply
    22,776.48x = 31,431.72 × 12,704.76
  4. Step 4: Simplify right side
    22,776.48x = 399,332,458.99
  5. Step 5: Solve for x
    x = 399,332,458.99/22,776.48
  6. Step 6: Final answer
    x = 17,532.67

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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.