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Finding the Fourth Proportional to 20,485.76, 30,727.52 and 10,094

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Solution

The fourth proportional to 20,485.76, 30,727.52 and 10,094 is: 15,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.76 : 30,727.52 = 10,094 : x
  2. Step 2: Convert to fraction form
    20,485.76/30,727.52 = 10,094/x
  3. Step 3: Cross multiply
    20,485.76x = 30,727.52 × 10,094
  4. Step 4: Simplify right side
    20,485.76x = 310,163,586.88
  5. Step 5: Solve for x
    x = 310,163,586.88/20,485.76
  6. Step 6: Final answer
    x = 15,140.45

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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.