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Finding the Fourth Proportional to 3,847.80, 5,770.80 and 1,507.89

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Solution

The fourth proportional to 3,847.80, 5,770.80 and 1,507.89 is: 2,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.80 : 5,770.80 = 1,507.89 : x
  2. Step 2: Convert to fraction form
    3,847.80/5,770.80 = 1,507.89/x
  3. Step 3: Cross multiply
    3,847.80x = 5,770.80 × 1,507.89
  4. Step 4: Simplify right side
    3,847.80x = 8,701,731.61
  5. Step 5: Solve for x
    x = 8,701,731.61/3,847.80
  6. Step 6: Final answer
    x = 2,261.48

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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.