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Finding the Fourth Proportional to 19,404, 26,781.84 and 12,329.04

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Solution

The fourth proportional to 19,404, 26,781.84 and 12,329.04 is: 17,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,404 : 26,781.84 = 12,329.04 : x
  2. Step 2: Convert to fraction form
    19,404/26,781.84 = 12,329.04/x
  3. Step 3: Cross multiply
    19,404x = 26,781.84 × 12,329.04
  4. Step 4: Simplify right side
    19,404x = 330,194,376.63
  5. Step 5: Solve for x
    x = 330,194,376.63/19,404
  6. Step 6: Final answer
    x = 17,016.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.