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Finding the Fourth Proportional to 20,438.78, 30,659.93 and 5,647.70

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Solution

The fourth proportional to 20,438.78, 30,659.93 and 5,647.70 is: 8,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.78 : 30,659.93 = 5,647.70 : x
  2. Step 2: Convert to fraction form
    20,438.78/30,659.93 = 5,647.70/x
  3. Step 3: Cross multiply
    20,438.78x = 30,659.93 × 5,647.70
  4. Step 4: Simplify right side
    20,438.78x = 173,157,905.12
  5. Step 5: Solve for x
    x = 173,157,905.12/20,438.78
  6. Step 6: Final answer
    x = 8,472.03

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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.