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Finding the Fourth Proportional to 22,378.87, 30,882.22 and 12,307.31

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Solution

The fourth proportional to 22,378.87, 30,882.22 and 12,307.31 is: 16,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.87 : 30,882.22 = 12,307.31 : x
  2. Step 2: Convert to fraction form
    22,378.87/30,882.22 = 12,307.31/x
  3. Step 3: Cross multiply
    22,378.87x = 30,882.22 × 12,307.31
  4. Step 4: Simplify right side
    22,378.87x = 380,077,055.03
  5. Step 5: Solve for x
    x = 380,077,055.03/22,378.87
  6. Step 6: Final answer
    x = 16,983.75

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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.