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Finding the Fourth Proportional to 10,791.12, 14,871.54 and 7,801.83

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Solution

The fourth proportional to 10,791.12, 14,871.54 and 7,801.83 is: 10,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.12 : 14,871.54 = 7,801.83 : x
  2. Step 2: Convert to fraction form
    10,791.12/14,871.54 = 7,801.83/x
  3. Step 3: Cross multiply
    10,791.12x = 14,871.54 × 7,801.83
  4. Step 4: Simplify right side
    10,791.12x = 116,025,226.92
  5. Step 5: Solve for x
    x = 116,025,226.92/10,791.12
  6. Step 6: Final answer
    x = 10,751.92

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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.