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Finding the Fourth Proportional to 13,784.50, 19,022.68 and 7,496.88

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Solution

The fourth proportional to 13,784.50, 19,022.68 and 7,496.88 is: 10,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.50 : 19,022.68 = 7,496.88 : x
  2. Step 2: Convert to fraction form
    13,784.50/19,022.68 = 7,496.88/x
  3. Step 3: Cross multiply
    13,784.50x = 19,022.68 × 7,496.88
  4. Step 4: Simplify right side
    13,784.50x = 142,610,749.24
  5. Step 5: Solve for x
    x = 142,610,749.24/13,784.50
  6. Step 6: Final answer
    x = 10,345.73

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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.