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Finding the Fourth Proportional to 7,137.64, 9,849.76 and 3,994.12

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Solution

The fourth proportional to 7,137.64, 9,849.76 and 3,994.12 is: 5,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.64 : 9,849.76 = 3,994.12 : x
  2. Step 2: Convert to fraction form
    7,137.64/9,849.76 = 3,994.12/x
  3. Step 3: Cross multiply
    7,137.64x = 9,849.76 × 3,994.12
  4. Step 4: Simplify right side
    7,137.64x = 39,341,123.41
  5. Step 5: Solve for x
    x = 39,341,123.41/7,137.64
  6. Step 6: Final answer
    x = 5,511.78

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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.