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Finding the Fourth Proportional to 5,145.48, 7,721.25 and 3,565.44

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Solution

The fourth proportional to 5,145.48, 7,721.25 and 3,565.44 is: 5,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.48 : 7,721.25 = 3,565.44 : x
  2. Step 2: Convert to fraction form
    5,145.48/7,721.25 = 3,565.44/x
  3. Step 3: Cross multiply
    5,145.48x = 7,721.25 × 3,565.44
  4. Step 4: Simplify right side
    5,145.48x = 27,529,653.60
  5. Step 5: Solve for x
    x = 27,529,653.60/5,145.48
  6. Step 6: Final answer
    x = 5,350.26

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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.