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Finding the Fourth Proportional to 20,381.40, 30,571.92 and 6,530.40

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Solution

The fourth proportional to 20,381.40, 30,571.92 and 6,530.40 is: 9,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.40 : 30,571.92 = 6,530.40 : x
  2. Step 2: Convert to fraction form
    20,381.40/30,571.92 = 6,530.40/x
  3. Step 3: Cross multiply
    20,381.40x = 30,571.92 × 6,530.40
  4. Step 4: Simplify right side
    20,381.40x = 199,646,866.37
  5. Step 5: Solve for x
    x = 199,646,866.37/20,381.40
  6. Step 6: Final answer
    x = 9,795.54

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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.