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Finding the Fourth Proportional to 19,894.40, 29,809.20 and 14,645.60

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Solution

The fourth proportional to 19,894.40, 29,809.20 and 14,645.60 is: 21,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.40 : 29,809.20 = 14,645.60 : x
  2. Step 2: Convert to fraction form
    19,894.40/29,809.20 = 14,645.60/x
  3. Step 3: Cross multiply
    19,894.40x = 29,809.20 × 14,645.60
  4. Step 4: Simplify right side
    19,894.40x = 436,573,619.52
  5. Step 5: Solve for x
    x = 436,573,619.52/19,894.40
  6. Step 6: Final answer
    x = 21,944.55

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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.