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Finding the Fourth Proportional to 34,706.40, 51,986.70 and 19,105.80

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Solution

The fourth proportional to 34,706.40, 51,986.70 and 19,105.80 is: 28,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.40 : 51,986.70 = 19,105.80 : x
  2. Step 2: Convert to fraction form
    34,706.40/51,986.70 = 19,105.80/x
  3. Step 3: Cross multiply
    34,706.40x = 51,986.70 × 19,105.80
  4. Step 4: Simplify right side
    34,706.40x = 993,247,492.86
  5. Step 5: Solve for x
    x = 993,247,492.86/34,706.40
  6. Step 6: Final answer
    x = 28,618.57

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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.