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Finding the Fourth Proportional to 12,838.43, 19,241.74 and 7,274.92

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Solution

The fourth proportional to 12,838.43, 19,241.74 and 7,274.92 is: 10,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.43 : 19,241.74 = 7,274.92 : x
  2. Step 2: Convert to fraction form
    12,838.43/19,241.74 = 7,274.92/x
  3. Step 3: Cross multiply
    12,838.43x = 19,241.74 × 7,274.92
  4. Step 4: Simplify right side
    12,838.43x = 139,982,119.16
  5. Step 5: Solve for x
    x = 139,982,119.16/12,838.43
  6. Step 6: Final answer
    x = 10,903.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.