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Finding the Fourth Proportional to 20,530.63, 30,800.56 and 7,383

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Solution

The fourth proportional to 20,530.63, 30,800.56 and 7,383 is: 11,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.63 : 30,800.56 = 7,383 : x
  2. Step 2: Convert to fraction form
    20,530.63/30,800.56 = 7,383/x
  3. Step 3: Cross multiply
    20,530.63x = 30,800.56 × 7,383
  4. Step 4: Simplify right side
    20,530.63x = 227,400,516.02
  5. Step 5: Solve for x
    x = 227,400,516.02/20,530.63
  6. Step 6: Final answer
    x = 11,076.16

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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.