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Finding the Fourth Proportional to 19,500, 26,910.36 and 13,920.72

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Solution

The fourth proportional to 19,500, 26,910.36 and 13,920.72 is: 19,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500 : 26,910.36 = 13,920.72 : x
  2. Step 2: Convert to fraction form
    19,500/26,910.36 = 13,920.72/x
  3. Step 3: Cross multiply
    19,500x = 26,910.36 × 13,920.72
  4. Step 4: Simplify right side
    19,500x = 374,611,586.66
  5. Step 5: Solve for x
    x = 374,611,586.66/19,500
  6. Step 6: Final answer
    x = 19,210.85

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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.