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Finding the Fourth Proportional to 13,212, 18,232.64 and 7,243.68

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Solution

The fourth proportional to 13,212, 18,232.64 and 7,243.68 is: 9,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212 : 18,232.64 = 7,243.68 : x
  2. Step 2: Convert to fraction form
    13,212/18,232.64 = 7,243.68/x
  3. Step 3: Cross multiply
    13,212x = 18,232.64 × 7,243.68
  4. Step 4: Simplify right side
    13,212x = 132,071,409.72
  5. Step 5: Solve for x
    x = 132,071,409.72/13,212
  6. Step 6: Final answer
    x = 9,996.32

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1.5x scale

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.