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Finding the Fourth Proportional to 20,475.86, 30,713.78 and 5,684.78

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Solution

The fourth proportional to 20,475.86, 30,713.78 and 5,684.78 is: 8,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.86 : 30,713.78 = 5,684.78 : x
  2. Step 2: Convert to fraction form
    20,475.86/30,713.78 = 5,684.78/x
  3. Step 3: Cross multiply
    20,475.86x = 30,713.78 × 5,684.78
  4. Step 4: Simplify right side
    20,475.86x = 174,600,900.28
  5. Step 5: Solve for x
    x = 174,600,900.28/20,475.86
  6. Step 6: Final answer
    x = 8,527.16

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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.