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Finding the Fourth Proportional to 19,876.38, 29,813.94 and 9,343.84

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Solution

The fourth proportional to 19,876.38, 29,813.94 and 9,343.84 is: 14,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.38 : 29,813.94 = 9,343.84 : x
  2. Step 2: Convert to fraction form
    19,876.38/29,813.94 = 9,343.84/x
  3. Step 3: Cross multiply
    19,876.38x = 29,813.94 × 9,343.84
  4. Step 4: Simplify right side
    19,876.38x = 278,576,685.13
  5. Step 5: Solve for x
    x = 278,576,685.13/19,876.38
  6. Step 6: Final answer
    x = 14,015.46

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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.