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Finding the Fourth Proportional to 7,128.96, 9,836.00 and 4,891.41

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Solution

The fourth proportional to 7,128.96, 9,836.00 and 4,891.41 is: 6,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.96 : 9,836.00 = 4,891.41 : x
  2. Step 2: Convert to fraction form
    7,128.96/9,836.00 = 4,891.41/x
  3. Step 3: Cross multiply
    7,128.96x = 9,836.00 × 4,891.41
  4. Step 4: Simplify right side
    7,128.96x = 48,111,884.30
  5. Step 5: Solve for x
    x = 48,111,884.30/7,128.96
  6. Step 6: Final answer
    x = 6,748.79

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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.