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Finding the Fourth Proportional to 4,858, 6,702.96 and 2,868.64

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Solution

The fourth proportional to 4,858, 6,702.96 and 2,868.64 is: 3,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858 : 6,702.96 = 2,868.64 : x
  2. Step 2: Convert to fraction form
    4,858/6,702.96 = 2,868.64/x
  3. Step 3: Cross multiply
    4,858x = 6,702.96 × 2,868.64
  4. Step 4: Simplify right side
    4,858x = 19,228,379.17
  5. Step 5: Solve for x
    x = 19,228,379.17/4,858
  6. Step 6: Final answer
    x = 3,958.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.