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Finding the Fourth Proportional to 4,234, 6,352.40 and 1,636.96

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Solution

The fourth proportional to 4,234, 6,352.40 and 1,636.96 is: 2,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234 : 6,352.40 = 1,636.96 : x
  2. Step 2: Convert to fraction form
    4,234/6,352.40 = 1,636.96/x
  3. Step 3: Cross multiply
    4,234x = 6,352.40 × 1,636.96
  4. Step 4: Simplify right side
    4,234x = 10,398,624.70
  5. Step 5: Solve for x
    x = 10,398,624.70/4,234
  6. Step 6: Final answer
    x = 2,455.98

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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.