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Finding the Fourth Proportional to 13,830.09, 20,748.78 and 7,254.51

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Solution

The fourth proportional to 13,830.09, 20,748.78 and 7,254.51 is: 10,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.09 : 20,748.78 = 7,254.51 : x
  2. Step 2: Convert to fraction form
    13,830.09/20,748.78 = 7,254.51/x
  3. Step 3: Cross multiply
    13,830.09x = 20,748.78 × 7,254.51
  4. Step 4: Simplify right side
    13,830.09x = 150,522,232.00
  5. Step 5: Solve for x
    x = 150,522,232.00/13,830.09
  6. Step 6: Final answer
    x = 10,883.68

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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.