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Finding the Fourth Proportional to 3,048.80, 4,572.96 and 857.60

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Solution

The fourth proportional to 3,048.80, 4,572.96 and 857.60 is: 1,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.80 : 4,572.96 = 857.60 : x
  2. Step 2: Convert to fraction form
    3,048.80/4,572.96 = 857.60/x
  3. Step 3: Cross multiply
    3,048.80x = 4,572.96 × 857.60
  4. Step 4: Simplify right side
    3,048.80x = 3,921,770.50
  5. Step 5: Solve for x
    x = 3,921,770.50/3,048.80
  6. Step 6: Final answer
    x = 1,286.33

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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.