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Finding the Fourth Proportional to 19,813.29, 29,690.78 and 8,709.81

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Solution

The fourth proportional to 19,813.29, 29,690.78 and 8,709.81 is: 13,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.29 : 29,690.78 = 8,709.81 : x
  2. Step 2: Convert to fraction form
    19,813.29/29,690.78 = 8,709.81/x
  3. Step 3: Cross multiply
    19,813.29x = 29,690.78 × 8,709.81
  4. Step 4: Simplify right side
    19,813.29x = 258,601,009.00
  5. Step 5: Solve for x
    x = 258,601,009.00/19,813.29
  6. Step 6: Final answer
    x = 13,051.90

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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.