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Finding the Fourth Proportional to 5,250.78, 7,239.42 and 3,457.98

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Solution

The fourth proportional to 5,250.78, 7,239.42 and 3,457.98 is: 4,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.78 : 7,239.42 = 3,457.98 : x
  2. Step 2: Convert to fraction form
    5,250.78/7,239.42 = 3,457.98/x
  3. Step 3: Cross multiply
    5,250.78x = 7,239.42 × 3,457.98
  4. Step 4: Simplify right side
    5,250.78x = 25,033,769.57
  5. Step 5: Solve for x
    x = 25,033,769.57/5,250.78
  6. Step 6: Final answer
    x = 4,767.63

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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.