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Finding the Fourth Proportional to 20,507.42, 30,765.42 and 8,661.23

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Solution

The fourth proportional to 20,507.42, 30,765.42 and 8,661.23 is: 12,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.42 : 30,765.42 = 8,661.23 : x
  2. Step 2: Convert to fraction form
    20,507.42/30,765.42 = 8,661.23/x
  3. Step 3: Cross multiply
    20,507.42x = 30,765.42 × 8,661.23
  4. Step 4: Simplify right side
    20,507.42x = 266,466,378.67
  5. Step 5: Solve for x
    x = 266,466,378.67/20,507.42
  6. Step 6: Final answer
    x = 12,993.66

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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.