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Finding the Fourth Proportional to 13,792.90, 19,036.60 and 7,823.38

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Solution

The fourth proportional to 13,792.90, 19,036.60 and 7,823.38 is: 10,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.90 : 19,036.60 = 7,823.38 : x
  2. Step 2: Convert to fraction form
    13,792.90/19,036.60 = 7,823.38/x
  3. Step 3: Cross multiply
    13,792.90x = 19,036.60 × 7,823.38
  4. Step 4: Simplify right side
    13,792.90x = 148,930,555.71
  5. Step 5: Solve for x
    x = 148,930,555.71/13,792.90
  6. Step 6: Final answer
    x = 10,797.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.