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Finding the Fourth Proportional to 19,614.40, 29,378.40 and 11,838.40

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Solution

The fourth proportional to 19,614.40, 29,378.40 and 11,838.40 is: 17,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.40 : 29,378.40 = 11,838.40 : x
  2. Step 2: Convert to fraction form
    19,614.40/29,378.40 = 11,838.40/x
  3. Step 3: Cross multiply
    19,614.40x = 29,378.40 × 11,838.40
  4. Step 4: Simplify right side
    19,614.40x = 347,793,250.56
  5. Step 5: Solve for x
    x = 347,793,250.56/19,614.40
  6. Step 6: Final answer
    x = 17,731.53

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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.