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Finding the Fourth Proportional to 7,102.80, 9,801 and 3,957.84

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Solution

The fourth proportional to 7,102.80, 9,801 and 3,957.84 is: 5,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.80 : 9,801 = 3,957.84 : x
  2. Step 2: Convert to fraction form
    7,102.80/9,801 = 3,957.84/x
  3. Step 3: Cross multiply
    7,102.80x = 9,801 × 3,957.84
  4. Step 4: Simplify right side
    7,102.80x = 38,790,789.84
  5. Step 5: Solve for x
    x = 38,790,789.84/7,102.80
  6. Step 6: Final answer
    x = 5,461.34

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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.