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Finding the Fourth Proportional to 4,877.89, 7,310.46 and 1,958.25

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Solution

The fourth proportional to 4,877.89, 7,310.46 and 1,958.25 is: 2,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.89 : 7,310.46 = 1,958.25 : x
  2. Step 2: Convert to fraction form
    4,877.89/7,310.46 = 1,958.25/x
  3. Step 3: Cross multiply
    4,877.89x = 7,310.46 × 1,958.25
  4. Step 4: Simplify right side
    4,877.89x = 14,315,685.12
  5. Step 5: Solve for x
    x = 14,315,685.12/4,877.89
  6. Step 6: Final answer
    x = 2,934.81

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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.