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Finding the Fourth Proportional to 16,378.42, 24,573.39 and 7,143.22

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Solution

The fourth proportional to 16,378.42, 24,573.39 and 7,143.22 is: 10,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.42 : 24,573.39 = 7,143.22 : x
  2. Step 2: Convert to fraction form
    16,378.42/24,573.39 = 7,143.22/x
  3. Step 3: Cross multiply
    16,378.42x = 24,573.39 × 7,143.22
  4. Step 4: Simplify right side
    16,378.42x = 175,533,130.92
  5. Step 5: Solve for x
    x = 175,533,130.92/16,378.42
  6. Step 6: Final answer
    x = 10,717.34

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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.