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Finding the Fourth Proportional to 11,864.00, 16,372.08 and 7,385.51

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Solution

The fourth proportional to 11,864.00, 16,372.08 and 7,385.51 is: 10,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.00 : 16,372.08 = 7,385.51 : x
  2. Step 2: Convert to fraction form
    11,864.00/16,372.08 = 7,385.51/x
  3. Step 3: Cross multiply
    11,864.00x = 16,372.08 × 7,385.51
  4. Step 4: Simplify right side
    11,864.00x = 120,916,078.70
  5. Step 5: Solve for x
    x = 120,916,078.70/11,864.00
  6. Step 6: Final answer
    x = 10,191.85

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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.