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Finding the Fourth Proportional to 20,351.71, 30,532.20 and 7,871.77

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Solution

The fourth proportional to 20,351.71, 30,532.20 and 7,871.77 is: 11,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,351.71 : 30,532.20 = 7,871.77 : x
  2. Step 2: Convert to fraction form
    20,351.71/30,532.20 = 7,871.77/x
  3. Step 3: Cross multiply
    20,351.71x = 30,532.20 × 7,871.77
  4. Step 4: Simplify right side
    20,351.71x = 240,342,455.99
  5. Step 5: Solve for x
    x = 240,342,455.99/20,351.71
  6. Step 6: Final answer
    x = 11,809.45

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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.