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Finding the Fourth Proportional to 20,549.35, 30,824.03 and 7,041.54

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Solution

The fourth proportional to 20,549.35, 30,824.03 and 7,041.54 is: 10,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.35 : 30,824.03 = 7,041.54 : x
  2. Step 2: Convert to fraction form
    20,549.35/30,824.03 = 7,041.54/x
  3. Step 3: Cross multiply
    20,549.35x = 30,824.03 × 7,041.54
  4. Step 4: Simplify right side
    20,549.35x = 217,048,640.21
  5. Step 5: Solve for x
    x = 217,048,640.21/20,549.35
  6. Step 6: Final answer
    x = 10,562.31

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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.