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Finding the Fourth Proportional to 20,378.66, 30,579.02 and 8,533.47

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Solution

The fourth proportional to 20,378.66, 30,579.02 and 8,533.47 is: 12,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378.66 : 30,579.02 = 8,533.47 : x
  2. Step 2: Convert to fraction form
    20,378.66/30,579.02 = 8,533.47/x
  3. Step 3: Cross multiply
    20,378.66x = 30,579.02 × 8,533.47
  4. Step 4: Simplify right side
    20,378.66x = 260,945,107.13
  5. Step 5: Solve for x
    x = 260,945,107.13/20,378.66
  6. Step 6: Final answer
    x = 12,804.82

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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.