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Finding the Fourth Proportional to 20,792.70, 31,193.55 and 7,646.04

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Solution

The fourth proportional to 20,792.70, 31,193.55 and 7,646.04 is: 11,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.70 : 31,193.55 = 7,646.04 : x
  2. Step 2: Convert to fraction form
    20,792.70/31,193.55 = 7,646.04/x
  3. Step 3: Cross multiply
    20,792.70x = 31,193.55 × 7,646.04
  4. Step 4: Simplify right side
    20,792.70x = 238,507,131.04
  5. Step 5: Solve for x
    x = 238,507,131.04/20,792.70
  6. Step 6: Final answer
    x = 11,470.71

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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.