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Finding the Fourth Proportional to 5,189.67, 7,780.14 and 2,414.93

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Solution

The fourth proportional to 5,189.67, 7,780.14 and 2,414.93 is: 3,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.67 : 7,780.14 = 2,414.93 : x
  2. Step 2: Convert to fraction form
    5,189.67/7,780.14 = 2,414.93/x
  3. Step 3: Cross multiply
    5,189.67x = 7,780.14 × 2,414.93
  4. Step 4: Simplify right side
    5,189.67x = 18,788,493.49
  5. Step 5: Solve for x
    x = 18,788,493.49/5,189.67
  6. Step 6: Final answer
    x = 3,620.36

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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.