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Finding the Fourth Proportional to 13,320, 18,381.57 and 7,351.67

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Solution

The fourth proportional to 13,320, 18,381.57 and 7,351.67 is: 10,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,320 : 18,381.57 = 7,351.67 : x
  2. Step 2: Convert to fraction form
    13,320/18,381.57 = 7,351.67/x
  3. Step 3: Cross multiply
    13,320x = 18,381.57 × 7,351.67
  4. Step 4: Simplify right side
    13,320x = 135,135,144.81
  5. Step 5: Solve for x
    x = 135,135,144.81/13,320
  6. Step 6: Final answer
    x = 10,145.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.