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Finding the Fourth Proportional to 20,235.36, 30,357.72 and 6,384

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Solution

The fourth proportional to 20,235.36, 30,357.72 and 6,384 is: 9,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.36 : 30,357.72 = 6,384 : x
  2. Step 2: Convert to fraction form
    20,235.36/30,357.72 = 6,384/x
  3. Step 3: Cross multiply
    20,235.36x = 30,357.72 × 6,384
  4. Step 4: Simplify right side
    20,235.36x = 193,803,684.48
  5. Step 5: Solve for x
    x = 193,803,684.48/20,235.36
  6. Step 6: Final answer
    x = 9,577.48

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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.