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Finding the Fourth Proportional to 20,098, 30,149.56 and 5,506

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Solution

The fourth proportional to 20,098, 30,149.56 and 5,506 is: 8,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 30,149.56 = 5,506 : x
  2. Step 2: Convert to fraction form
    20,098/30,149.56 = 5,506/x
  3. Step 3: Cross multiply
    20,098x = 30,149.56 × 5,506
  4. Step 4: Simplify right side
    20,098x = 166,003,477.36
  5. Step 5: Solve for x
    x = 166,003,477.36/20,098
  6. Step 6: Final answer
    x = 8,259.70

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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.