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Finding the Fourth Proportional to 20,336, 30,507.84 and 9,392

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Solution

The fourth proportional to 20,336, 30,507.84 and 9,392 is: 14,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,336 : 30,507.84 = 9,392 : x
  2. Step 2: Convert to fraction form
    20,336/30,507.84 = 9,392/x
  3. Step 3: Cross multiply
    20,336x = 30,507.84 × 9,392
  4. Step 4: Simplify right side
    20,336x = 286,529,633.28
  5. Step 5: Solve for x
    x = 286,529,633.28/20,336
  6. Step 6: Final answer
    x = 14,089.77

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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.