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Finding the Fourth Proportional to 5,953, 8,211.72 and 3,713.80

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Solution

The fourth proportional to 5,953, 8,211.72 and 3,713.80 is: 5,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953 : 8,211.72 = 3,713.80 : x
  2. Step 2: Convert to fraction form
    5,953/8,211.72 = 3,713.80/x
  3. Step 3: Cross multiply
    5,953x = 8,211.72 × 3,713.80
  4. Step 4: Simplify right side
    5,953x = 30,496,685.74
  5. Step 5: Solve for x
    x = 30,496,685.74/5,953
  6. Step 6: Final answer
    x = 5,122.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.