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Finding the Fourth Proportional to 13,974.48, 19,285.16 and 7,686.84

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Solution

The fourth proportional to 13,974.48, 19,285.16 and 7,686.84 is: 10,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.48 : 19,285.16 = 7,686.84 : x
  2. Step 2: Convert to fraction form
    13,974.48/19,285.16 = 7,686.84/x
  3. Step 3: Cross multiply
    13,974.48x = 19,285.16 × 7,686.84
  4. Step 4: Simplify right side
    13,974.48x = 148,241,939.29
  5. Step 5: Solve for x
    x = 148,241,939.29/13,974.48
  6. Step 6: Final answer
    x = 10,608.05

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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.