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Finding the Fourth Proportional to 5,729.72, 7,899.93 and 3,709.80

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Solution

The fourth proportional to 5,729.72, 7,899.93 and 3,709.80 is: 5,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.72 : 7,899.93 = 3,709.80 : x
  2. Step 2: Convert to fraction form
    5,729.72/7,899.93 = 3,709.80/x
  3. Step 3: Cross multiply
    5,729.72x = 7,899.93 × 3,709.80
  4. Step 4: Simplify right side
    5,729.72x = 29,307,160.31
  5. Step 5: Solve for x
    x = 29,307,160.31/5,729.72
  6. Step 6: Final answer
    x = 5,114.94

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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.