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Finding the Fourth Proportional to 12,078.23, 16,667.93 and 6,774.02

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Solution

The fourth proportional to 12,078.23, 16,667.93 and 6,774.02 is: 9,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.23 : 16,667.93 = 6,774.02 : x
  2. Step 2: Convert to fraction form
    12,078.23/16,667.93 = 6,774.02/x
  3. Step 3: Cross multiply
    12,078.23x = 16,667.93 × 6,774.02
  4. Step 4: Simplify right side
    12,078.23x = 112,908,773.97
  5. Step 5: Solve for x
    x = 112,908,773.97/12,078.23
  6. Step 6: Final answer
    x = 9,348.12

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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.