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Finding the Fourth Proportional to 20,384.64, 30,579.99 and 7,235.91

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Solution

The fourth proportional to 20,384.64, 30,579.99 and 7,235.91 is: 10,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.64 : 30,579.99 = 7,235.91 : x
  2. Step 2: Convert to fraction form
    20,384.64/30,579.99 = 7,235.91/x
  3. Step 3: Cross multiply
    20,384.64x = 30,579.99 × 7,235.91
  4. Step 4: Simplify right side
    20,384.64x = 221,274,055.44
  5. Step 5: Solve for x
    x = 221,274,055.44/20,384.64
  6. Step 6: Final answer
    x = 10,854.94

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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.