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Finding the Fourth Proportional to 7,857.90, 11,792.93 and 5,392.67

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Solution

The fourth proportional to 7,857.90, 11,792.93 and 5,392.67 is: 8,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.90 : 11,792.93 = 5,392.67 : x
  2. Step 2: Convert to fraction form
    7,857.90/11,792.93 = 5,392.67/x
  3. Step 3: Cross multiply
    7,857.90x = 11,792.93 × 5,392.67
  4. Step 4: Simplify right side
    7,857.90x = 63,595,293.90
  5. Step 5: Solve for x
    x = 63,595,293.90/7,857.90
  6. Step 6: Final answer
    x = 8,093.17

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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.