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Finding the Fourth Proportional to 38,009.76, 57,020 and 11,716.64

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Solution

The fourth proportional to 38,009.76, 57,020 and 11,716.64 is: 17,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.76 : 57,020 = 11,716.64 : x
  2. Step 2: Convert to fraction form
    38,009.76/57,020 = 11,716.64/x
  3. Step 3: Cross multiply
    38,009.76x = 57,020 × 11,716.64
  4. Step 4: Simplify right side
    38,009.76x = 668,082,812.80
  5. Step 5: Solve for x
    x = 668,082,812.80/38,009.76
  6. Step 6: Final answer
    x = 17,576.61

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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.