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Finding the Fourth Proportional to 20,153.86, 30,230.86 and 6,114.01

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Solution

The fourth proportional to 20,153.86, 30,230.86 and 6,114.01 is: 9,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.86 : 30,230.86 = 6,114.01 : x
  2. Step 2: Convert to fraction form
    20,153.86/30,230.86 = 6,114.01/x
  3. Step 3: Cross multiply
    20,153.86x = 30,230.86 × 6,114.01
  4. Step 4: Simplify right side
    20,153.86x = 184,831,629.19
  5. Step 5: Solve for x
    x = 184,831,629.19/20,153.86
  6. Step 6: Final answer
    x = 9,171.03

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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.