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Finding the Fourth Proportional to 2,783.72, 4,175.10 and 835.40

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Solution

The fourth proportional to 2,783.72, 4,175.10 and 835.40 is: 1,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.72 : 4,175.10 = 835.40 : x
  2. Step 2: Convert to fraction form
    2,783.72/4,175.10 = 835.40/x
  3. Step 3: Cross multiply
    2,783.72x = 4,175.10 × 835.40
  4. Step 4: Simplify right side
    2,783.72x = 3,487,878.54
  5. Step 5: Solve for x
    x = 3,487,878.54/2,783.72
  6. Step 6: Final answer
    x = 1,252.96

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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.