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Finding the Fourth Proportional to 12,406, 18,598 and 4,609.34

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Solution

The fourth proportional to 12,406, 18,598 and 4,609.34 is: 6,909.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406 : 18,598 = 4,609.34 : x
  2. Step 2: Convert to fraction form
    12,406/18,598 = 4,609.34/x
  3. Step 3: Cross multiply
    12,406x = 18,598 × 4,609.34
  4. Step 4: Simplify right side
    12,406x = 85,724,505.32
  5. Step 5: Solve for x
    x = 85,724,505.32/12,406
  6. Step 6: Final answer
    x = 6,909.92

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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.