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Finding the Fourth Proportional to 20,471.81, 30,708.32 and 5,681.81

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Solution

The fourth proportional to 20,471.81, 30,708.32 and 5,681.81 is: 8,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.81 : 30,708.32 = 5,681.81 : x
  2. Step 2: Convert to fraction form
    20,471.81/30,708.32 = 5,681.81/x
  3. Step 3: Cross multiply
    20,471.81x = 30,708.32 × 5,681.81
  4. Step 4: Simplify right side
    20,471.81x = 174,478,888.02
  5. Step 5: Solve for x
    x = 174,478,888.02/20,471.81
  6. Step 6: Final answer
    x = 8,522.89

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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.