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Finding the Fourth Proportional to 13,783.50, 19,021.32 and 7,495.92

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Solution

The fourth proportional to 13,783.50, 19,021.32 and 7,495.92 is: 10,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 19,021.32 = 7,495.92 : x
  2. Step 2: Convert to fraction form
    13,783.50/19,021.32 = 7,495.92/x
  3. Step 3: Cross multiply
    13,783.50x = 19,021.32 × 7,495.92
  4. Step 4: Simplify right side
    13,783.50x = 142,582,293.01
  5. Step 5: Solve for x
    x = 142,582,293.01/13,783.50
  6. Step 6: Final answer
    x = 10,344.42

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