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Finding the Fourth Proportional to 5,190.42, 7,786.97 and 1,492.94

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Solution

The fourth proportional to 5,190.42, 7,786.97 and 1,492.94 is: 2,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.42 : 7,786.97 = 1,492.94 : x
  2. Step 2: Convert to fraction form
    5,190.42/7,786.97 = 1,492.94/x
  3. Step 3: Cross multiply
    5,190.42x = 7,786.97 × 1,492.94
  4. Step 4: Simplify right side
    5,190.42x = 11,625,496.59
  5. Step 5: Solve for x
    x = 11,625,496.59/5,190.42
  6. Step 6: Final answer
    x = 2,239.80

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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.