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Finding the Fourth Proportional to 20,143.14, 30,214.74 and 6,103.02

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Solution

The fourth proportional to 20,143.14, 30,214.74 and 6,103.02 is: 9,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.14 : 30,214.74 = 6,103.02 : x
  2. Step 2: Convert to fraction form
    20,143.14/30,214.74 = 6,103.02/x
  3. Step 3: Cross multiply
    20,143.14x = 30,214.74 × 6,103.02
  4. Step 4: Simplify right side
    20,143.14x = 184,401,162.51
  5. Step 5: Solve for x
    x = 184,401,162.51/20,143.14
  6. Step 6: Final answer
    x = 9,154.54

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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.