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Finding the Fourth Proportional to 7,977.82, 11,015.85 and 7,137.04

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Solution

The fourth proportional to 7,977.82, 11,015.85 and 7,137.04 is: 9,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.82 : 11,015.85 = 7,137.04 : x
  2. Step 2: Convert to fraction form
    7,977.82/11,015.85 = 7,137.04/x
  3. Step 3: Cross multiply
    7,977.82x = 11,015.85 × 7,137.04
  4. Step 4: Simplify right side
    7,977.82x = 78,620,562.08
  5. Step 5: Solve for x
    x = 78,620,562.08/7,977.82
  6. Step 6: Final answer
    x = 9,854.89

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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.