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Finding the Fourth Proportional to 13,191.63, 19,792.62 and 5,790.93

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Solution

The fourth proportional to 13,191.63, 19,792.62 and 5,790.93 is: 8,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.63 : 19,792.62 = 5,790.93 : x
  2. Step 2: Convert to fraction form
    13,191.63/19,792.62 = 5,790.93/x
  3. Step 3: Cross multiply
    13,191.63x = 19,792.62 × 5,790.93
  4. Step 4: Simplify right side
    13,191.63x = 114,617,676.94
  5. Step 5: Solve for x
    x = 114,617,676.94/13,191.63
  6. Step 6: Final answer
    x = 8,688.67

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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.