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Finding the Fourth Proportional to 5,847.80, 8,771.70 and 5,310.20

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Solution

The fourth proportional to 5,847.80, 8,771.70 and 5,310.20 is: 7,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.80 : 8,771.70 = 5,310.20 : x
  2. Step 2: Convert to fraction form
    5,847.80/8,771.70 = 5,310.20/x
  3. Step 3: Cross multiply
    5,847.80x = 8,771.70 × 5,310.20
  4. Step 4: Simplify right side
    5,847.80x = 46,579,481.34
  5. Step 5: Solve for x
    x = 46,579,481.34/5,847.80
  6. Step 6: Final answer
    x = 7,965.30

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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.