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Finding the Fourth Proportional to 20,135.70, 30,203.80 and 6,095.82

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Solution

The fourth proportional to 20,135.70, 30,203.80 and 6,095.82 is: 9,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.70 : 30,203.80 = 6,095.82 : x
  2. Step 2: Convert to fraction form
    20,135.70/30,203.80 = 6,095.82/x
  3. Step 3: Cross multiply
    20,135.70x = 30,203.80 × 6,095.82
  4. Step 4: Simplify right side
    20,135.70x = 184,116,928.12
  5. Step 5: Solve for x
    x = 184,116,928.12/20,135.70
  6. Step 6: Final answer
    x = 9,143.81

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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.