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Finding the Fourth Proportional to 19,912.86, 29,848.62 and 9,910.98

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Solution

The fourth proportional to 19,912.86, 29,848.62 and 9,910.98 is: 14,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.86 : 29,848.62 = 9,910.98 : x
  2. Step 2: Convert to fraction form
    19,912.86/29,848.62 = 9,910.98/x
  3. Step 3: Cross multiply
    19,912.86x = 29,848.62 × 9,910.98
  4. Step 4: Simplify right side
    19,912.86x = 295,829,075.85
  5. Step 5: Solve for x
    x = 295,829,075.85/19,912.86
  6. Step 6: Final answer
    x = 14,856.18

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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.