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Finding the Fourth Proportional to 13,077, 19,624.32 and 4,869

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Solution

The fourth proportional to 13,077, 19,624.32 and 4,869 is: 7,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077 : 19,624.32 = 4,869 : x
  2. Step 2: Convert to fraction form
    13,077/19,624.32 = 4,869/x
  3. Step 3: Cross multiply
    13,077x = 19,624.32 × 4,869
  4. Step 4: Simplify right side
    13,077x = 95,550,814.08
  5. Step 5: Solve for x
    x = 95,550,814.08/13,077
  6. Step 6: Final answer
    x = 7,306.78

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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.