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Finding the Fourth Proportional to 20,565.81, 30,849.80 and 6,526.91

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Solution

The fourth proportional to 20,565.81, 30,849.80 and 6,526.91 is: 9,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.81 : 30,849.80 = 6,526.91 : x
  2. Step 2: Convert to fraction form
    20,565.81/30,849.80 = 6,526.91/x
  3. Step 3: Cross multiply
    20,565.81x = 30,849.80 × 6,526.91
  4. Step 4: Simplify right side
    20,565.81x = 201,353,912.61
  5. Step 5: Solve for x
    x = 201,353,912.61/20,565.81
  6. Step 6: Final answer
    x = 9,790.71

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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.