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Finding the Fourth Proportional to 12,813, 17,682.24 and 7,224

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Solution

The fourth proportional to 12,813, 17,682.24 and 7,224 is: 9,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813 : 17,682.24 = 7,224 : x
  2. Step 2: Convert to fraction form
    12,813/17,682.24 = 7,224/x
  3. Step 3: Cross multiply
    12,813x = 17,682.24 × 7,224
  4. Step 4: Simplify right side
    12,813x = 127,736,501.76
  5. Step 5: Solve for x
    x = 127,736,501.76/12,813
  6. Step 6: Final answer
    x = 9,969.29

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Why These Related Problems?

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