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Finding the Fourth Proportional to 7,121.54, 9,823.28 and 5,128.94

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Solution

The fourth proportional to 7,121.54, 9,823.28 and 5,128.94 is: 7,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.54 : 9,823.28 = 5,128.94 : x
  2. Step 2: Convert to fraction form
    7,121.54/9,823.28 = 5,128.94/x
  3. Step 3: Cross multiply
    7,121.54x = 9,823.28 × 5,128.94
  4. Step 4: Simplify right side
    7,121.54x = 50,383,013.72
  5. Step 5: Solve for x
    x = 50,383,013.72/7,121.54
  6. Step 6: Final answer
    x = 7,074.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.