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Finding the Fourth Proportional to 8,520.94, 12,784.49 and 2,975.10

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Solution

The fourth proportional to 8,520.94, 12,784.49 and 2,975.10 is: 4,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.94 : 12,784.49 = 2,975.10 : x
  2. Step 2: Convert to fraction form
    8,520.94/12,784.49 = 2,975.10/x
  3. Step 3: Cross multiply
    8,520.94x = 12,784.49 × 2,975.10
  4. Step 4: Simplify right side
    8,520.94x = 38,035,171.92
  5. Step 5: Solve for x
    x = 38,035,171.92/8,520.94
  6. Step 6: Final answer
    x = 4,463.73

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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.