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Finding the Fourth Proportional to 3,512.50, 4,847.25 and 2,270.50

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Solution

The fourth proportional to 3,512.50, 4,847.25 and 2,270.50 is: 3,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.50 : 4,847.25 = 2,270.50 : x
  2. Step 2: Convert to fraction form
    3,512.50/4,847.25 = 2,270.50/x
  3. Step 3: Cross multiply
    3,512.50x = 4,847.25 × 2,270.50
  4. Step 4: Simplify right side
    3,512.50x = 11,005,681.13
  5. Step 5: Solve for x
    x = 11,005,681.13/3,512.50
  6. Step 6: Final answer
    x = 3,133.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.