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Finding the Fourth Proportional to 7,706.80, 11,561.70 and 2,776.84

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Solution

The fourth proportional to 7,706.80, 11,561.70 and 2,776.84 is: 4,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.80 : 11,561.70 = 2,776.84 : x
  2. Step 2: Convert to fraction form
    7,706.80/11,561.70 = 2,776.84/x
  3. Step 3: Cross multiply
    7,706.80x = 11,561.70 × 2,776.84
  4. Step 4: Simplify right side
    7,706.80x = 32,104,991.03
  5. Step 5: Solve for x
    x = 32,104,991.03/7,706.80
  6. Step 6: Final answer
    x = 4,165.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.