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Finding the Fourth Proportional to 3,834.64, 5,302.16 and 3,657.25

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Solution

The fourth proportional to 3,834.64, 5,302.16 and 3,657.25 is: 5,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.64 : 5,302.16 = 3,657.25 : x
  2. Step 2: Convert to fraction form
    3,834.64/5,302.16 = 3,657.25/x
  3. Step 3: Cross multiply
    3,834.64x = 5,302.16 × 3,657.25
  4. Step 4: Simplify right side
    3,834.64x = 19,391,324.66
  5. Step 5: Solve for x
    x = 19,391,324.66/3,834.64
  6. Step 6: Final answer
    x = 5,056.88

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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.