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Finding the Fourth Proportional to 13,315, 19,972.92 and 4,993

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Solution

The fourth proportional to 13,315, 19,972.92 and 4,993 is: 7,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315 : 19,972.92 = 4,993 : x
  2. Step 2: Convert to fraction form
    13,315/19,972.92 = 4,993/x
  3. Step 3: Cross multiply
    13,315x = 19,972.92 × 4,993
  4. Step 4: Simplify right side
    13,315x = 99,724,789.56
  5. Step 5: Solve for x
    x = 99,724,789.56/13,315
  6. Step 6: Final answer
    x = 7,489.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.