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Finding the Fourth Proportional to 14,101.12, 19,415.22 and 11,972.20

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Solution

The fourth proportional to 14,101.12, 19,415.22 and 11,972.20 is: 16,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.12 : 19,415.22 = 11,972.20 : x
  2. Step 2: Convert to fraction form
    14,101.12/19,415.22 = 11,972.20/x
  3. Step 3: Cross multiply
    14,101.12x = 19,415.22 × 11,972.20
  4. Step 4: Simplify right side
    14,101.12x = 232,442,896.88
  5. Step 5: Solve for x
    x = 232,442,896.88/14,101.12
  6. Step 6: Final answer
    x = 16,484.00

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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.