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Finding the Fourth Proportional to 7,957.44, 10,951.20 and 7,128

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Solution

The fourth proportional to 7,957.44, 10,951.20 and 7,128 is: 9,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.44 : 10,951.20 = 7,128 : x
  2. Step 2: Convert to fraction form
    7,957.44/10,951.20 = 7,128/x
  3. Step 3: Cross multiply
    7,957.44x = 10,951.20 × 7,128
  4. Step 4: Simplify right side
    7,957.44x = 78,060,153.60
  5. Step 5: Solve for x
    x = 78,060,153.60/7,957.44
  6. Step 6: Final answer
    x = 9,809.71

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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.