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Finding the Fourth Proportional to 22,304.96, 30,776.48 and 13,228.64

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Solution

The fourth proportional to 22,304.96, 30,776.48 and 13,228.64 is: 18,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.96 : 30,776.48 = 13,228.64 : x
  2. Step 2: Convert to fraction form
    22,304.96/30,776.48 = 13,228.64/x
  3. Step 3: Cross multiply
    22,304.96x = 30,776.48 × 13,228.64
  4. Step 4: Simplify right side
    22,304.96x = 407,130,974.39
  5. Step 5: Solve for x
    x = 407,130,974.39/22,304.96
  6. Step 6: Final answer
    x = 18,252.93

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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.