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Finding the Fourth Proportional to 19,766.22, 29,649.81 and 7,757.86

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Solution

The fourth proportional to 19,766.22, 29,649.81 and 7,757.86 is: 11,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.22 : 29,649.81 = 7,757.86 : x
  2. Step 2: Convert to fraction form
    19,766.22/29,649.81 = 7,757.86/x
  3. Step 3: Cross multiply
    19,766.22x = 29,649.81 × 7,757.86
  4. Step 4: Simplify right side
    19,766.22x = 230,019,075.01
  5. Step 5: Solve for x
    x = 230,019,075.01/19,766.22
  6. Step 6: Final answer
    x = 11,636.98

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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.