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Finding the Fourth Proportional to 7,770.78, 11,640.11 and 3,810.15

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Solution

The fourth proportional to 7,770.78, 11,640.11 and 3,810.15 is: 5,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.78 : 11,640.11 = 3,810.15 : x
  2. Step 2: Convert to fraction form
    7,770.78/11,640.11 = 3,810.15/x
  3. Step 3: Cross multiply
    7,770.78x = 11,640.11 × 3,810.15
  4. Step 4: Simplify right side
    7,770.78x = 44,350,546.07
  5. Step 5: Solve for x
    x = 44,350,546.07/7,770.78
  6. Step 6: Final answer
    x = 5,707.35

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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.