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Finding the Fourth Proportional to 30,476.88, 45,715.32 and 12,934.41

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Solution

The fourth proportional to 30,476.88, 45,715.32 and 12,934.41 is: 19,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.88 : 45,715.32 = 12,934.41 : x
  2. Step 2: Convert to fraction form
    30,476.88/45,715.32 = 12,934.41/x
  3. Step 3: Cross multiply
    30,476.88x = 45,715.32 × 12,934.41
  4. Step 4: Simplify right side
    30,476.88x = 591,300,520.73
  5. Step 5: Solve for x
    x = 591,300,520.73/30,476.88
  6. Step 6: Final answer
    x = 19,401.61

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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.