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Finding the Fourth Proportional to 11,857.12, 17,788.27 and 4,461.57

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Solution

The fourth proportional to 11,857.12, 17,788.27 and 4,461.57 is: 6,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.12 : 17,788.27 = 4,461.57 : x
  2. Step 2: Convert to fraction form
    11,857.12/17,788.27 = 4,461.57/x
  3. Step 3: Cross multiply
    11,857.12x = 17,788.27 × 4,461.57
  4. Step 4: Simplify right side
    11,857.12x = 79,363,600.63
  5. Step 5: Solve for x
    x = 79,363,600.63/11,857.12
  6. Step 6: Final answer
    x = 6,693.33

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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.