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Finding the Fourth Proportional to 3,043.25, 4,564.33 and 852.20

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Solution

The fourth proportional to 3,043.25, 4,564.33 and 852.20 is: 1,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.25 : 4,564.33 = 852.20 : x
  2. Step 2: Convert to fraction form
    3,043.25/4,564.33 = 852.20/x
  3. Step 3: Cross multiply
    3,043.25x = 4,564.33 × 852.20
  4. Step 4: Simplify right side
    3,043.25x = 3,889,722.03
  5. Step 5: Solve for x
    x = 3,889,722.03/3,043.25
  6. Step 6: Final answer
    x = 1,278.15

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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.