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Finding the Fourth Proportional to 11,774.57, 17,661.95 and 3,454.72

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Solution

The fourth proportional to 11,774.57, 17,661.95 and 3,454.72 is: 5,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.57 : 17,661.95 = 3,454.72 : x
  2. Step 2: Convert to fraction form
    11,774.57/17,661.95 = 3,454.72/x
  3. Step 3: Cross multiply
    11,774.57x = 17,661.95 × 3,454.72
  4. Step 4: Simplify right side
    11,774.57x = 61,017,091.90
  5. Step 5: Solve for x
    x = 61,017,091.90/11,774.57
  6. Step 6: Final answer
    x = 5,182.11

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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.