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Finding the Fourth Proportional to 10,530, 15,785.28 and 3,951.72

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Solution

The fourth proportional to 10,530, 15,785.28 and 3,951.72 is: 5,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 15,785.28 = 3,951.72 : x
  2. Step 2: Convert to fraction form
    10,530/15,785.28 = 3,951.72/x
  3. Step 3: Cross multiply
    10,530x = 15,785.28 × 3,951.72
  4. Step 4: Simplify right side
    10,530x = 62,379,006.68
  5. Step 5: Solve for x
    x = 62,379,006.68/10,530
  6. Step 6: Final answer
    x = 5,923.93

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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.