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Finding the Fourth Proportional to 22,616, 31,210.08 and 13,784

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Solution

The fourth proportional to 22,616, 31,210.08 and 13,784 is: 19,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616 : 31,210.08 = 13,784 : x
  2. Step 2: Convert to fraction form
    22,616/31,210.08 = 13,784/x
  3. Step 3: Cross multiply
    22,616x = 31,210.08 × 13,784
  4. Step 4: Simplify right side
    22,616x = 430,199,742.72
  5. Step 5: Solve for x
    x = 430,199,742.72/22,616
  6. Step 6: Final answer
    x = 19,021.92

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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.