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Finding the Fourth Proportional to 19,645, 29,428.08 and 9,754.36

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Solution

The fourth proportional to 19,645, 29,428.08 and 9,754.36 is: 14,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645 : 29,428.08 = 9,754.36 : x
  2. Step 2: Convert to fraction form
    19,645/29,428.08 = 9,754.36/x
  3. Step 3: Cross multiply
    19,645x = 29,428.08 × 9,754.36
  4. Step 4: Simplify right side
    19,645x = 287,052,086.43
  5. Step 5: Solve for x
    x = 287,052,086.43/19,645
  6. Step 6: Final answer
    x = 14,611.97

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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.