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Finding the Fourth Proportional to 8,509.94, 12,765.46 and 2,269.86

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Solution

The fourth proportional to 8,509.94, 12,765.46 and 2,269.86 is: 3,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.94 : 12,765.46 = 2,269.86 : x
  2. Step 2: Convert to fraction form
    8,509.94/12,765.46 = 2,269.86/x
  3. Step 3: Cross multiply
    8,509.94x = 12,765.46 × 2,269.86
  4. Step 4: Simplify right side
    8,509.94x = 28,975,807.04
  5. Step 5: Solve for x
    x = 28,975,807.04/8,509.94
  6. Step 6: Final answer
    x = 3,404.94

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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.