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Finding the Fourth Proportional to 5,212.98, 7,805.70 and 3,654.90

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Solution

The fourth proportional to 5,212.98, 7,805.70 and 3,654.90 is: 5,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.98 : 7,805.70 = 3,654.90 : x
  2. Step 2: Convert to fraction form
    5,212.98/7,805.70 = 3,654.90/x
  3. Step 3: Cross multiply
    5,212.98x = 7,805.70 × 3,654.90
  4. Step 4: Simplify right side
    5,212.98x = 28,529,052.93
  5. Step 5: Solve for x
    x = 28,529,052.93/5,212.98
  6. Step 6: Final answer
    x = 5,472.70

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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.