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Finding the Fourth Proportional to 11,992.14, 17,962.02 and 9,888.50

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Solution

The fourth proportional to 11,992.14, 17,962.02 and 9,888.50 is: 14,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.14 : 17,962.02 = 9,888.50 : x
  2. Step 2: Convert to fraction form
    11,992.14/17,962.02 = 9,888.50/x
  3. Step 3: Cross multiply
    11,992.14x = 17,962.02 × 9,888.50
  4. Step 4: Simplify right side
    11,992.14x = 177,617,434.77
  5. Step 5: Solve for x
    x = 177,617,434.77/11,992.14
  6. Step 6: Final answer
    x = 14,811.15

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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.