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Finding the Fourth Proportional to 19,838.44, 29,770.62 and 9,451

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Solution

The fourth proportional to 19,838.44, 29,770.62 and 9,451 is: 14,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.44 : 29,770.62 = 9,451 : x
  2. Step 2: Convert to fraction form
    19,838.44/29,770.62 = 9,451/x
  3. Step 3: Cross multiply
    19,838.44x = 29,770.62 × 9,451
  4. Step 4: Simplify right side
    19,838.44x = 281,362,129.62
  5. Step 5: Solve for x
    x = 281,362,129.62/19,838.44
  6. Step 6: Final answer
    x = 14,182.67

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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.