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Finding the Fourth Proportional to 3,456.80, 4,770.53 and 1,884.93

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Solution

The fourth proportional to 3,456.80, 4,770.53 and 1,884.93 is: 2,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.80 : 4,770.53 = 1,884.93 : x
  2. Step 2: Convert to fraction form
    3,456.80/4,770.53 = 1,884.93/x
  3. Step 3: Cross multiply
    3,456.80x = 4,770.53 × 1,884.93
  4. Step 4: Simplify right side
    3,456.80x = 8,992,115.11
  5. Step 5: Solve for x
    x = 8,992,115.11/3,456.80
  6. Step 6: Final answer
    x = 2,601.28

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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.