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Finding the Fourth Proportional to 11,980.88, 17,955.12 and 9,384.56

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Solution

The fourth proportional to 11,980.88, 17,955.12 and 9,384.56 is: 14,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.88 : 17,955.12 = 9,384.56 : x
  2. Step 2: Convert to fraction form
    11,980.88/17,955.12 = 9,384.56/x
  3. Step 3: Cross multiply
    11,980.88x = 17,955.12 × 9,384.56
  4. Step 4: Simplify right side
    11,980.88x = 168,500,900.95
  5. Step 5: Solve for x
    x = 168,500,900.95/11,980.88
  6. Step 6: Final answer
    x = 14,064.15

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