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Finding the Fourth Proportional to 21,179.13, 31,768.69 and 7,328.13

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Solution

The fourth proportional to 21,179.13, 31,768.69 and 7,328.13 is: 10,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.13 : 31,768.69 = 7,328.13 : x
  2. Step 2: Convert to fraction form
    21,179.13/31,768.69 = 7,328.13/x
  3. Step 3: Cross multiply
    21,179.13x = 31,768.69 × 7,328.13
  4. Step 4: Simplify right side
    21,179.13x = 232,805,090.25
  5. Step 5: Solve for x
    x = 232,805,090.25/21,179.13
  6. Step 6: Final answer
    x = 10,992.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.