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Finding the Fourth Proportional to 13,409.36, 18,504.56 and 7,820

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Solution

The fourth proportional to 13,409.36, 18,504.56 and 7,820 is: 10,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.36 : 18,504.56 = 7,820 : x
  2. Step 2: Convert to fraction form
    13,409.36/18,504.56 = 7,820/x
  3. Step 3: Cross multiply
    13,409.36x = 18,504.56 × 7,820
  4. Step 4: Simplify right side
    13,409.36x = 144,705,659.20
  5. Step 5: Solve for x
    x = 144,705,659.20/13,409.36
  6. Step 6: Final answer
    x = 10,791.39

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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.