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Finding the Fourth Proportional to 9,992.18, 13,780.74 and 6,012.55

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Solution

The fourth proportional to 9,992.18, 13,780.74 and 6,012.55 is: 8,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.18 : 13,780.74 = 6,012.55 : x
  2. Step 2: Convert to fraction form
    9,992.18/13,780.74 = 6,012.55/x
  3. Step 3: Cross multiply
    9,992.18x = 13,780.74 × 6,012.55
  4. Step 4: Simplify right side
    9,992.18x = 82,857,388.29
  5. Step 5: Solve for x
    x = 82,857,388.29/9,992.18
  6. Step 6: Final answer
    x = 8,292.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.