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Finding the Fourth Proportional to 7,776.75, 10,731.92 and 4,982.25

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Solution

The fourth proportional to 7,776.75, 10,731.92 and 4,982.25 is: 6,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.75 : 10,731.92 = 4,982.25 : x
  2. Step 2: Convert to fraction form
    7,776.75/10,731.92 = 4,982.25/x
  3. Step 3: Cross multiply
    7,776.75x = 10,731.92 × 4,982.25
  4. Step 4: Simplify right side
    7,776.75x = 53,469,083.51
  5. Step 5: Solve for x
    x = 53,469,083.51/7,776.75
  6. Step 6: Final answer
    x = 6,875.51

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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.