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Finding the Fourth Proportional to 13,772.27, 19,005.88 and 7,484.64

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Solution

The fourth proportional to 13,772.27, 19,005.88 and 7,484.64 is: 10,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.27 : 19,005.88 = 7,484.64 : x
  2. Step 2: Convert to fraction form
    13,772.27/19,005.88 = 7,484.64/x
  3. Step 3: Cross multiply
    13,772.27x = 19,005.88 × 7,484.64
  4. Step 4: Simplify right side
    13,772.27x = 142,252,169.68
  5. Step 5: Solve for x
    x = 142,252,169.68/13,772.27
  6. Step 6: Final answer
    x = 10,328.88

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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.