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Finding the Fourth Proportional to 4,189, 5,780.94 and 2,326.12

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Solution

The fourth proportional to 4,189, 5,780.94 and 2,326.12 is: 3,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 5,780.94 = 2,326.12 : x
  2. Step 2: Convert to fraction form
    4,189/5,780.94 = 2,326.12/x
  3. Step 3: Cross multiply
    4,189x = 5,780.94 × 2,326.12
  4. Step 4: Simplify right side
    4,189x = 13,447,160.15
  5. Step 5: Solve for x
    x = 13,447,160.15/4,189
  6. Step 6: Final answer
    x = 3,210.11

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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.