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Finding the Fourth Proportional to 10,192.86, 14,061.87 and 7,208.82

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Solution

The fourth proportional to 10,192.86, 14,061.87 and 7,208.82 is: 9,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.86 : 14,061.87 = 7,208.82 : x
  2. Step 2: Convert to fraction form
    10,192.86/14,061.87 = 7,208.82/x
  3. Step 3: Cross multiply
    10,192.86x = 14,061.87 × 7,208.82
  4. Step 4: Simplify right side
    10,192.86x = 101,369,489.69
  5. Step 5: Solve for x
    x = 101,369,489.69/10,192.86
  6. Step 6: Final answer
    x = 9,945.15

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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.