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Finding the Fourth Proportional to 20,486.52, 30,730.50 and 8,009.46

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Solution

The fourth proportional to 20,486.52, 30,730.50 and 8,009.46 is: 12,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.52 : 30,730.50 = 8,009.46 : x
  2. Step 2: Convert to fraction form
    20,486.52/30,730.50 = 8,009.46/x
  3. Step 3: Cross multiply
    20,486.52x = 30,730.50 × 8,009.46
  4. Step 4: Simplify right side
    20,486.52x = 246,134,710.53
  5. Step 5: Solve for x
    x = 246,134,710.53/20,486.52
  6. Step 6: Final answer
    x = 12,014.47

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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.