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Finding the Fourth Proportional to 28,647.30, 42,994.11 and 19,757.22

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Solution

The fourth proportional to 28,647.30, 42,994.11 and 19,757.22 is: 29,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,647.30 : 42,994.11 = 19,757.22 : x
  2. Step 2: Convert to fraction form
    28,647.30/42,994.11 = 19,757.22/x
  3. Step 3: Cross multiply
    28,647.30x = 42,994.11 × 19,757.22
  4. Step 4: Simplify right side
    28,647.30x = 849,444,089.97
  5. Step 5: Solve for x
    x = 849,444,089.97/28,647.30
  6. Step 6: Final answer
    x = 29,651.80

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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.