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Finding the Fourth Proportional to 2,815.02, 4,217.04 and 1,838.16

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Solution

The fourth proportional to 2,815.02, 4,217.04 and 1,838.16 is: 2,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.02 : 4,217.04 = 1,838.16 : x
  2. Step 2: Convert to fraction form
    2,815.02/4,217.04 = 1,838.16/x
  3. Step 3: Cross multiply
    2,815.02x = 4,217.04 × 1,838.16
  4. Step 4: Simplify right side
    2,815.02x = 7,751,594.25
  5. Step 5: Solve for x
    x = 7,751,594.25/2,815.02
  6. Step 6: Final answer
    x = 2,753.66

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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.