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Finding the Fourth Proportional to 10,811.26, 14,921.19 and 7,826

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Solution

The fourth proportional to 10,811.26, 14,921.19 and 7,826 is: 10,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.26 : 14,921.19 = 7,826 : x
  2. Step 2: Convert to fraction form
    10,811.26/14,921.19 = 7,826/x
  3. Step 3: Cross multiply
    10,811.26x = 14,921.19 × 7,826
  4. Step 4: Simplify right side
    10,811.26x = 116,773,232.94
  5. Step 5: Solve for x
    x = 116,773,232.94/10,811.26
  6. Step 6: Final answer
    x = 10,801.08

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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.