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Finding the Fourth Proportional to 34,480.50, 51,720.78 and 9,520.80

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Solution

The fourth proportional to 34,480.50, 51,720.78 and 9,520.80 is: 14,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,480.50 : 51,720.78 = 9,520.80 : x
  2. Step 2: Convert to fraction form
    34,480.50/51,720.78 = 9,520.80/x
  3. Step 3: Cross multiply
    34,480.50x = 51,720.78 × 9,520.80
  4. Step 4: Simplify right side
    34,480.50x = 492,423,202.22
  5. Step 5: Solve for x
    x = 492,423,202.22/34,480.50
  6. Step 6: Final answer
    x = 14,281.21

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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.