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Finding the Fourth Proportional to 7,137.84, 9,849.96 and 5,044.80

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Solution

The fourth proportional to 7,137.84, 9,849.96 and 5,044.80 is: 6,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.84 : 9,849.96 = 5,044.80 : x
  2. Step 2: Convert to fraction form
    7,137.84/9,849.96 = 5,044.80/x
  3. Step 3: Cross multiply
    7,137.84x = 9,849.96 × 5,044.80
  4. Step 4: Simplify right side
    7,137.84x = 49,691,078.21
  5. Step 5: Solve for x
    x = 49,691,078.21/7,137.84
  6. Step 6: Final answer
    x = 6,961.64

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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.