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Finding the Fourth Proportional to 18,666, 27,999.36 and 9,312.48

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Solution

The fourth proportional to 18,666, 27,999.36 and 9,312.48 is: 13,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,666 : 27,999.36 = 9,312.48 : x
  2. Step 2: Convert to fraction form
    18,666/27,999.36 = 9,312.48/x
  3. Step 3: Cross multiply
    18,666x = 27,999.36 × 9,312.48
  4. Step 4: Simplify right side
    18,666x = 260,743,480.01
  5. Step 5: Solve for x
    x = 260,743,480.01/18,666
  6. Step 6: Final answer
    x = 13,968.90

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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.