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Finding the Fourth Proportional to 13,849.66, 20,780.58 and 7,274.32

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Solution

The fourth proportional to 13,849.66, 20,780.58 and 7,274.32 is: 10,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.66 : 20,780.58 = 7,274.32 : x
  2. Step 2: Convert to fraction form
    13,849.66/20,780.58 = 7,274.32/x
  3. Step 3: Cross multiply
    13,849.66x = 20,780.58 × 7,274.32
  4. Step 4: Simplify right side
    13,849.66x = 151,164,588.71
  5. Step 5: Solve for x
    x = 151,164,588.71/13,849.66
  6. Step 6: Final answer
    x = 10,914.68

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