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Finding the Fourth Proportional to 5,310.85, 7,965.21 and 5,047.40

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Solution

The fourth proportional to 5,310.85, 7,965.21 and 5,047.40 is: 7,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.85 : 7,965.21 = 5,047.40 : x
  2. Step 2: Convert to fraction form
    5,310.85/7,965.21 = 5,047.40/x
  3. Step 3: Cross multiply
    5,310.85x = 7,965.21 × 5,047.40
  4. Step 4: Simplify right side
    5,310.85x = 40,203,600.95
  5. Step 5: Solve for x
    x = 40,203,600.95/5,310.85
  6. Step 6: Final answer
    x = 7,570.09

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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.