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Finding the Fourth Proportional to 7,840.30, 11,770.47 and 6,736.78

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Solution

The fourth proportional to 7,840.30, 11,770.47 and 6,736.78 is: 10,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.30 : 11,770.47 = 6,736.78 : x
  2. Step 2: Convert to fraction form
    7,840.30/11,770.47 = 6,736.78/x
  3. Step 3: Cross multiply
    7,840.30x = 11,770.47 × 6,736.78
  4. Step 4: Simplify right side
    7,840.30x = 79,295,066.89
  5. Step 5: Solve for x
    x = 79,295,066.89/7,840.30
  6. Step 6: Final answer
    x = 10,113.78

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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.