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Finding the Fourth Proportional to 10,304.12, 14,222.42 and 7,117.99

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Solution

The fourth proportional to 10,304.12, 14,222.42 and 7,117.99 is: 9,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.12 : 14,222.42 = 7,117.99 : x
  2. Step 2: Convert to fraction form
    10,304.12/14,222.42 = 7,117.99/x
  3. Step 3: Cross multiply
    10,304.12x = 14,222.42 × 7,117.99
  4. Step 4: Simplify right side
    10,304.12x = 101,234,998.88
  5. Step 5: Solve for x
    x = 101,234,998.88/10,304.12
  6. Step 6: Final answer
    x = 9,824.71

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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.