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Finding the Fourth Proportional to 20,580.76, 30,871.14 and 4,998.28

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Solution

The fourth proportional to 20,580.76, 30,871.14 and 4,998.28 is: 7,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.76 : 30,871.14 = 4,998.28 : x
  2. Step 2: Convert to fraction form
    20,580.76/30,871.14 = 4,998.28/x
  3. Step 3: Cross multiply
    20,580.76x = 30,871.14 × 4,998.28
  4. Step 4: Simplify right side
    20,580.76x = 154,302,601.64
  5. Step 5: Solve for x
    x = 154,302,601.64/20,580.76
  6. Step 6: Final answer
    x = 7,497.42

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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.