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Finding the Fourth Proportional to 8,520.12, 12,783.78 and 4,816.80

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Solution

The fourth proportional to 8,520.12, 12,783.78 and 4,816.80 is: 7,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.12 : 12,783.78 = 4,816.80 : x
  2. Step 2: Convert to fraction form
    8,520.12/12,783.78 = 4,816.80/x
  3. Step 3: Cross multiply
    8,520.12x = 12,783.78 × 4,816.80
  4. Step 4: Simplify right side
    8,520.12x = 61,576,911.50
  5. Step 5: Solve for x
    x = 61,576,911.50/8,520.12
  6. Step 6: Final answer
    x = 7,227.24

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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.