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Finding the Fourth Proportional to 3,180.77, 4,770.60 and 840.80

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Solution

The fourth proportional to 3,180.77, 4,770.60 and 840.80 is: 1,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.77 : 4,770.60 = 840.80 : x
  2. Step 2: Convert to fraction form
    3,180.77/4,770.60 = 840.80/x
  3. Step 3: Cross multiply
    3,180.77x = 4,770.60 × 840.80
  4. Step 4: Simplify right side
    3,180.77x = 4,011,096.63
  5. Step 5: Solve for x
    x = 4,011,096.63/3,180.77
  6. Step 6: Final answer
    x = 1,261.05

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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.