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Finding the Fourth Proportional to 3,946.58, 5,928 and 3,815.36

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Solution

The fourth proportional to 3,946.58, 5,928 and 3,815.36 is: 5,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.58 : 5,928 = 3,815.36 : x
  2. Step 2: Convert to fraction form
    3,946.58/5,928 = 3,815.36/x
  3. Step 3: Cross multiply
    3,946.58x = 5,928 × 3,815.36
  4. Step 4: Simplify right side
    3,946.58x = 22,617,454.08
  5. Step 5: Solve for x
    x = 22,617,454.08/3,946.58
  6. Step 6: Final answer
    x = 5,730.90

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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.