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Finding the Fourth Proportional to 12,838.71, 19,249.92 and 4,941.21

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Solution

The fourth proportional to 12,838.71, 19,249.92 and 4,941.21 is: 7,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.71 : 19,249.92 = 4,941.21 : x
  2. Step 2: Convert to fraction form
    12,838.71/19,249.92 = 4,941.21/x
  3. Step 3: Cross multiply
    12,838.71x = 19,249.92 × 4,941.21
  4. Step 4: Simplify right side
    12,838.71x = 95,117,897.20
  5. Step 5: Solve for x
    x = 95,117,897.20/12,838.71
  6. Step 6: Final answer
    x = 7,408.68

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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.