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Finding the Fourth Proportional to 10,825.80, 14,941.11 and 6,351

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Solution

The fourth proportional to 10,825.80, 14,941.11 and 6,351 is: 8,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.80 : 14,941.11 = 6,351 : x
  2. Step 2: Convert to fraction form
    10,825.80/14,941.11 = 6,351/x
  3. Step 3: Cross multiply
    10,825.80x = 14,941.11 × 6,351
  4. Step 4: Simplify right side
    10,825.80x = 94,890,989.61
  5. Step 5: Solve for x
    x = 94,890,989.61/10,825.80
  6. Step 6: Final answer
    x = 8,765.26

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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.