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Finding the Fourth Proportional to 4,633.08, 6,948 and 2,786.28

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Solution

The fourth proportional to 4,633.08, 6,948 and 2,786.28 is: 4,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.08 : 6,948 = 2,786.28 : x
  2. Step 2: Convert to fraction form
    4,633.08/6,948 = 2,786.28/x
  3. Step 3: Cross multiply
    4,633.08x = 6,948 × 2,786.28
  4. Step 4: Simplify right side
    4,633.08x = 19,359,073.44
  5. Step 5: Solve for x
    x = 19,359,073.44/4,633.08
  6. Step 6: Final answer
    x = 4,178.45

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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.