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Finding the Fourth Proportional to 13,875, 19,142.82 and 7,902.46

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Solution

The fourth proportional to 13,875, 19,142.82 and 7,902.46 is: 10,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875 : 19,142.82 = 7,902.46 : x
  2. Step 2: Convert to fraction form
    13,875/19,142.82 = 7,902.46/x
  3. Step 3: Cross multiply
    13,875x = 19,142.82 × 7,902.46
  4. Step 4: Simplify right side
    13,875x = 151,275,369.34
  5. Step 5: Solve for x
    x = 151,275,369.34/13,875
  6. Step 6: Final answer
    x = 10,902.73

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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.