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Finding the Fourth Proportional to 19,404, 26,776.26 and 11,445.84

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Solution

The fourth proportional to 19,404, 26,776.26 and 11,445.84 is: 15,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,404 : 26,776.26 = 11,445.84 : x
  2. Step 2: Convert to fraction form
    19,404/26,776.26 = 11,445.84/x
  3. Step 3: Cross multiply
    19,404x = 26,776.26 × 11,445.84
  4. Step 4: Simplify right side
    19,404x = 306,476,787.76
  5. Step 5: Solve for x
    x = 306,476,787.76/19,404
  6. Step 6: Final answer
    x = 15,794.52

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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.