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Finding the Fourth Proportional to 3,255.56, 4,883.34 and 947.24

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Solution

The fourth proportional to 3,255.56, 4,883.34 and 947.24 is: 1,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.56 : 4,883.34 = 947.24 : x
  2. Step 2: Convert to fraction form
    3,255.56/4,883.34 = 947.24/x
  3. Step 3: Cross multiply
    3,255.56x = 4,883.34 × 947.24
  4. Step 4: Simplify right side
    3,255.56x = 4,625,694.98
  5. Step 5: Solve for x
    x = 4,625,694.98/3,255.56
  6. Step 6: Final answer
    x = 1,420.86

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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.