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Finding the Fourth Proportional to 3,639.84, 5,429.16 and 3,397.92

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Solution

The fourth proportional to 3,639.84, 5,429.16 and 3,397.92 is: 5,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.84 : 5,429.16 = 3,397.92 : x
  2. Step 2: Convert to fraction form
    3,639.84/5,429.16 = 3,397.92/x
  3. Step 3: Cross multiply
    3,639.84x = 5,429.16 × 3,397.92
  4. Step 4: Simplify right side
    3,639.84x = 18,447,851.35
  5. Step 5: Solve for x
    x = 18,447,851.35/3,639.84
  6. Step 6: Final answer
    x = 5,068.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.