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Finding the Fourth Proportional to 20,553.10, 30,831.02 and 5,762.60

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Solution

The fourth proportional to 20,553.10, 30,831.02 and 5,762.60 is: 8,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553.10 : 30,831.02 = 5,762.60 : x
  2. Step 2: Convert to fraction form
    20,553.10/30,831.02 = 5,762.60/x
  3. Step 3: Cross multiply
    20,553.10x = 30,831.02 × 5,762.60
  4. Step 4: Simplify right side
    20,553.10x = 177,666,835.85
  5. Step 5: Solve for x
    x = 177,666,835.85/20,553.10
  6. Step 6: Final answer
    x = 8,644.28

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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.