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Finding the Fourth Proportional to 8,429.14, 12,646.14 and 3,497.86

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Solution

The fourth proportional to 8,429.14, 12,646.14 and 3,497.86 is: 5,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.14 : 12,646.14 = 3,497.86 : x
  2. Step 2: Convert to fraction form
    8,429.14/12,646.14 = 3,497.86/x
  3. Step 3: Cross multiply
    8,429.14x = 12,646.14 × 3,497.86
  4. Step 4: Simplify right side
    8,429.14x = 44,234,427.26
  5. Step 5: Solve for x
    x = 44,234,427.26/8,429.14
  6. Step 6: Final answer
    x = 5,247.80

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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.