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Finding the Fourth Proportional to 7,813.54, 10,774.09 and 4,977.73

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Solution

The fourth proportional to 7,813.54, 10,774.09 and 4,977.73 is: 6,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.54 : 10,774.09 = 4,977.73 : x
  2. Step 2: Convert to fraction form
    7,813.54/10,774.09 = 4,977.73/x
  3. Step 3: Cross multiply
    7,813.54x = 10,774.09 × 4,977.73
  4. Step 4: Simplify right side
    7,813.54x = 53,630,530.71
  5. Step 5: Solve for x
    x = 53,630,530.71/7,813.54
  6. Step 6: Final answer
    x = 6,863.79

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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.