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Finding the Fourth Proportional to 5,311.71, 7,328.37 and 3,798

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Solution

The fourth proportional to 5,311.71, 7,328.37 and 3,798 is: 5,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.71 : 7,328.37 = 3,798 : x
  2. Step 2: Convert to fraction form
    5,311.71/7,328.37 = 3,798/x
  3. Step 3: Cross multiply
    5,311.71x = 7,328.37 × 3,798
  4. Step 4: Simplify right side
    5,311.71x = 27,833,149.26
  5. Step 5: Solve for x
    x = 27,833,149.26/5,311.71
  6. Step 6: Final answer
    x = 5,239.96

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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.