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Finding the Fourth Proportional to 20,005.71, 30,027.41 and 10,152.06

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Solution

The fourth proportional to 20,005.71, 30,027.41 and 10,152.06 is: 15,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.71 : 30,027.41 = 10,152.06 : x
  2. Step 2: Convert to fraction form
    20,005.71/30,027.41 = 10,152.06/x
  3. Step 3: Cross multiply
    20,005.71x = 30,027.41 × 10,152.06
  4. Step 4: Simplify right side
    20,005.71x = 304,840,067.96
  5. Step 5: Solve for x
    x = 304,840,067.96/20,005.71
  6. Step 6: Final answer
    x = 15,237.65

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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.