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Finding the Fourth Proportional to 21,096.56, 31,644.56 and 6,305.60

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Solution

The fourth proportional to 21,096.56, 31,644.56 and 6,305.60 is: 9,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.56 : 31,644.56 = 6,305.60 : x
  2. Step 2: Convert to fraction form
    21,096.56/31,644.56 = 6,305.60/x
  3. Step 3: Cross multiply
    21,096.56x = 31,644.56 × 6,305.60
  4. Step 4: Simplify right side
    21,096.56x = 199,537,937.54
  5. Step 5: Solve for x
    x = 199,537,937.54/21,096.56
  6. Step 6: Final answer
    x = 9,458.32

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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.