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Finding the Fourth Proportional to 5,078.88, 7,618.96 and 1,958.80

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Solution

The fourth proportional to 5,078.88, 7,618.96 and 1,958.80 is: 2,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.88 : 7,618.96 = 1,958.80 : x
  2. Step 2: Convert to fraction form
    5,078.88/7,618.96 = 1,958.80/x
  3. Step 3: Cross multiply
    5,078.88x = 7,618.96 × 1,958.80
  4. Step 4: Simplify right side
    5,078.88x = 14,924,018.85
  5. Step 5: Solve for x
    x = 14,924,018.85/5,078.88
  6. Step 6: Final answer
    x = 2,938.45

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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.