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Finding the Fourth Proportional to 20,577.84, 30,778.56 and 19,083.84

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Solution

The fourth proportional to 20,577.84, 30,778.56 and 19,083.84 is: 28,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.84 : 30,778.56 = 19,083.84 : x
  2. Step 2: Convert to fraction form
    20,577.84/30,778.56 = 19,083.84/x
  3. Step 3: Cross multiply
    20,577.84x = 30,778.56 × 19,083.84
  4. Step 4: Simplify right side
    20,577.84x = 587,373,114.47
  5. Step 5: Solve for x
    x = 587,373,114.47/20,577.84
  6. Step 6: Final answer
    x = 28,543.96

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1.5x scale

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.