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Finding the Fourth Proportional to 7,770.81, 11,661.08 and 3,153.81

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Solution

The fourth proportional to 7,770.81, 11,661.08 and 3,153.81 is: 4,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.81 : 11,661.08 = 3,153.81 : x
  2. Step 2: Convert to fraction form
    7,770.81/11,661.08 = 3,153.81/x
  3. Step 3: Cross multiply
    7,770.81x = 11,661.08 × 3,153.81
  4. Step 4: Simplify right side
    7,770.81x = 36,776,814.95
  5. Step 5: Solve for x
    x = 36,776,814.95/7,770.81
  6. Step 6: Final answer
    x = 4,732.69

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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.