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Finding the Fourth Proportional to 22,447.49, 30,977.75 and 12,376.32

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Solution

The fourth proportional to 22,447.49, 30,977.75 and 12,376.32 is: 17,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.49 : 30,977.75 = 12,376.32 : x
  2. Step 2: Convert to fraction form
    22,447.49/30,977.75 = 12,376.32/x
  3. Step 3: Cross multiply
    22,447.49x = 30,977.75 × 12,376.32
  4. Step 4: Simplify right side
    22,447.49x = 383,390,546.88
  5. Step 5: Solve for x
    x = 383,390,546.88/22,447.49
  6. Step 6: Final answer
    x = 17,079.44

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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.