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Finding the Fourth Proportional to 4,157, 6,235.50 and 2,105

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Solution

The fourth proportional to 4,157, 6,235.50 and 2,105 is: 3,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157 : 6,235.50 = 2,105 : x
  2. Step 2: Convert to fraction form
    4,157/6,235.50 = 2,105/x
  3. Step 3: Cross multiply
    4,157x = 6,235.50 × 2,105
  4. Step 4: Simplify right side
    4,157x = 13,125,727.50
  5. Step 5: Solve for x
    x = 13,125,727.50/4,157
  6. Step 6: Final answer
    x = 3,157.50

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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.