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Finding the Fourth Proportional to 13,953.77, 19,247.67 and 8,284.67

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Solution

The fourth proportional to 13,953.77, 19,247.67 and 8,284.67 is: 11,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.77 : 19,247.67 = 8,284.67 : x
  2. Step 2: Convert to fraction form
    13,953.77/19,247.67 = 8,284.67/x
  3. Step 3: Cross multiply
    13,953.77x = 19,247.67 × 8,284.67
  4. Step 4: Simplify right side
    13,953.77x = 159,460,594.22
  5. Step 5: Solve for x
    x = 159,460,594.22/13,953.77
  6. Step 6: Final answer
    x = 11,427.78

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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.