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Finding the Fourth Proportional to 20,156.75, 30,235.15 and 7,009.14

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Solution

The fourth proportional to 20,156.75, 30,235.15 and 7,009.14 is: 10,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.75 : 30,235.15 = 7,009.14 : x
  2. Step 2: Convert to fraction form
    20,156.75/30,235.15 = 7,009.14/x
  3. Step 3: Cross multiply
    20,156.75x = 30,235.15 × 7,009.14
  4. Step 4: Simplify right side
    20,156.75x = 211,922,399.27
  5. Step 5: Solve for x
    x = 211,922,399.27/20,156.75
  6. Step 6: Final answer
    x = 10,513.72

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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.