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Finding the Fourth Proportional to 20,253, 30,393 and 7,783.32

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Solution

The fourth proportional to 20,253, 30,393 and 7,783.32 is: 11,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253 : 30,393 = 7,783.32 : x
  2. Step 2: Convert to fraction form
    20,253/30,393 = 7,783.32/x
  3. Step 3: Cross multiply
    20,253x = 30,393 × 7,783.32
  4. Step 4: Simplify right side
    20,253x = 236,558,444.76
  5. Step 5: Solve for x
    x = 236,558,444.76/20,253
  6. Step 6: Final answer
    x = 11,680.17

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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.