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Finding the Fourth Proportional to 3,450.92, 4,698.56 and 3,440

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Solution

The fourth proportional to 3,450.92, 4,698.56 and 3,440 is: 4,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.92 : 4,698.56 = 3,440 : x
  2. Step 2: Convert to fraction form
    3,450.92/4,698.56 = 3,440/x
  3. Step 3: Cross multiply
    3,450.92x = 4,698.56 × 3,440
  4. Step 4: Simplify right side
    3,450.92x = 16,163,046.40
  5. Step 5: Solve for x
    x = 16,163,046.40/3,450.92
  6. Step 6: Final answer
    x = 4,683.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.