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Finding the Fourth Proportional to 3,924.98, 5,895.68 and 3,309.90

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Solution

The fourth proportional to 3,924.98, 5,895.68 and 3,309.90 is: 4,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.98 : 5,895.68 = 3,309.90 : x
  2. Step 2: Convert to fraction form
    3,924.98/5,895.68 = 3,309.90/x
  3. Step 3: Cross multiply
    3,924.98x = 5,895.68 × 3,309.90
  4. Step 4: Simplify right side
    3,924.98x = 19,514,111.23
  5. Step 5: Solve for x
    x = 19,514,111.23/3,924.98
  6. Step 6: Final answer
    x = 4,971.77

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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.