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Finding the Fourth Proportional to 12,143.53, 16,756.22 and 6,838.21

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Solution

The fourth proportional to 12,143.53, 16,756.22 and 6,838.21 is: 9,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.53 : 16,756.22 = 6,838.21 : x
  2. Step 2: Convert to fraction form
    12,143.53/16,756.22 = 6,838.21/x
  3. Step 3: Cross multiply
    12,143.53x = 16,756.22 × 6,838.21
  4. Step 4: Simplify right side
    12,143.53x = 114,582,516.98
  5. Step 5: Solve for x
    x = 114,582,516.98/12,143.53
  6. Step 6: Final answer
    x = 9,435.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.