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Finding the Fourth Proportional to 13,791.14, 19,030.10 and 7,822.52

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Solution

The fourth proportional to 13,791.14, 19,030.10 and 7,822.52 is: 10,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.14 : 19,030.10 = 7,822.52 : x
  2. Step 2: Convert to fraction form
    13,791.14/19,030.10 = 7,822.52/x
  3. Step 3: Cross multiply
    13,791.14x = 19,030.10 × 7,822.52
  4. Step 4: Simplify right side
    13,791.14x = 148,863,337.85
  5. Step 5: Solve for x
    x = 148,863,337.85/13,791.14
  6. Step 6: Final answer
    x = 10,794.13

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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.