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Finding the Fourth Proportional to 20,728, 31,096.59 and 7,580.08

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Solution

The fourth proportional to 20,728, 31,096.59 and 7,580.08 is: 11,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728 : 31,096.59 = 7,580.08 : x
  2. Step 2: Convert to fraction form
    20,728/31,096.59 = 7,580.08/x
  3. Step 3: Cross multiply
    20,728x = 31,096.59 × 7,580.08
  4. Step 4: Simplify right side
    20,728x = 235,714,639.93
  5. Step 5: Solve for x
    x = 235,714,639.93/20,728
  6. Step 6: Final answer
    x = 11,371.80

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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.