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Finding the Fourth Proportional to 4,771.56, 7,157.80 and 1,770.40

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Solution

The fourth proportional to 4,771.56, 7,157.80 and 1,770.40 is: 2,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.56 : 7,157.80 = 1,770.40 : x
  2. Step 2: Convert to fraction form
    4,771.56/7,157.80 = 1,770.40/x
  3. Step 3: Cross multiply
    4,771.56x = 7,157.80 × 1,770.40
  4. Step 4: Simplify right side
    4,771.56x = 12,672,169.12
  5. Step 5: Solve for x
    x = 12,672,169.12/4,771.56
  6. Step 6: Final answer
    x = 2,655.77

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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.