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Finding the Fourth Proportional to 20,144.00, 30,174.87 and 9,582.08

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Solution

The fourth proportional to 20,144.00, 30,174.87 and 9,582.08 is: 14,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.00 : 30,174.87 = 9,582.08 : x
  2. Step 2: Convert to fraction form
    20,144.00/30,174.87 = 9,582.08/x
  3. Step 3: Cross multiply
    20,144.00x = 30,174.87 × 9,582.08
  4. Step 4: Simplify right side
    20,144.00x = 289,137,903.39
  5. Step 5: Solve for x
    x = 289,137,903.39/20,144.00
  6. Step 6: Final answer
    x = 14,353.55

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1.5x scale

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.