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Finding the Fourth Proportional to 19,709.46, 29,538.52 and 8,009

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Solution

The fourth proportional to 19,709.46, 29,538.52 and 8,009 is: 12,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.46 : 29,538.52 = 8,009 : x
  2. Step 2: Convert to fraction form
    19,709.46/29,538.52 = 8,009/x
  3. Step 3: Cross multiply
    19,709.46x = 29,538.52 × 8,009
  4. Step 4: Simplify right side
    19,709.46x = 236,574,006.68
  5. Step 5: Solve for x
    x = 236,574,006.68/19,709.46
  6. Step 6: Final answer
    x = 12,003.07

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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.