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Finding the Fourth Proportional to 9,957.80, 14,912.40 and 4,757.60

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Solution

The fourth proportional to 9,957.80, 14,912.40 and 4,757.60 is: 7,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.80 : 14,912.40 = 4,757.60 : x
  2. Step 2: Convert to fraction form
    9,957.80/14,912.40 = 4,757.60/x
  3. Step 3: Cross multiply
    9,957.80x = 14,912.40 × 4,757.60
  4. Step 4: Simplify right side
    9,957.80x = 70,947,234.24
  5. Step 5: Solve for x
    x = 70,947,234.24/9,957.80
  6. Step 6: Final answer
    x = 7,124.79

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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.