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Finding the Fourth Proportional to 2,771.50, 4,157.26 and 947.50

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Solution

The fourth proportional to 2,771.50, 4,157.26 and 947.50 is: 1,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.50 : 4,157.26 = 947.50 : x
  2. Step 2: Convert to fraction form
    2,771.50/4,157.26 = 947.50/x
  3. Step 3: Cross multiply
    2,771.50x = 4,157.26 × 947.50
  4. Step 4: Simplify right side
    2,771.50x = 3,939,003.85
  5. Step 5: Solve for x
    x = 3,939,003.85/2,771.50
  6. Step 6: Final answer
    x = 1,421.25

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Double scale
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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.