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Finding the Fourth Proportional to 7,800, 11,704.23 and 4,519.50

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Solution

The fourth proportional to 7,800, 11,704.23 and 4,519.50 is: 6,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 11,704.23 = 4,519.50 : x
  2. Step 2: Convert to fraction form
    7,800/11,704.23 = 4,519.50/x
  3. Step 3: Cross multiply
    7,800x = 11,704.23 × 4,519.50
  4. Step 4: Simplify right side
    7,800x = 52,897,267.49
  5. Step 5: Solve for x
    x = 52,897,267.49/7,800
  6. Step 6: Final answer
    x = 6,781.70

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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.