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Finding the Fourth Proportional to 4,893.72, 7,345.43 and 3,809.94

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Solution

The fourth proportional to 4,893.72, 7,345.43 and 3,809.94 is: 5,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.72 : 7,345.43 = 3,809.94 : x
  2. Step 2: Convert to fraction form
    4,893.72/7,345.43 = 3,809.94/x
  3. Step 3: Cross multiply
    4,893.72x = 7,345.43 × 3,809.94
  4. Step 4: Simplify right side
    4,893.72x = 27,985,636.70
  5. Step 5: Solve for x
    x = 27,985,636.70/4,893.72
  6. Step 6: Final answer
    x = 5,718.69

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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.