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Finding the Fourth Proportional to 3,939.68, 5,908.98 and 2,297

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Solution

The fourth proportional to 3,939.68, 5,908.98 and 2,297 is: 3,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.68 : 5,908.98 = 2,297 : x
  2. Step 2: Convert to fraction form
    3,939.68/5,908.98 = 2,297/x
  3. Step 3: Cross multiply
    3,939.68x = 5,908.98 × 2,297
  4. Step 4: Simplify right side
    3,939.68x = 13,572,927.06
  5. Step 5: Solve for x
    x = 13,572,927.06/3,939.68
  6. Step 6: Final answer
    x = 3,445.19

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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.