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Finding the Fourth Proportional to 4,633, 6,393.56 and 2,977

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Solution

The fourth proportional to 4,633, 6,393.56 and 2,977 is: 4,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633 : 6,393.56 = 2,977 : x
  2. Step 2: Convert to fraction form
    4,633/6,393.56 = 2,977/x
  3. Step 3: Cross multiply
    4,633x = 6,393.56 × 2,977
  4. Step 4: Simplify right side
    4,633x = 19,033,628.12
  5. Step 5: Solve for x
    x = 19,033,628.12/4,633
  6. Step 6: Final answer
    x = 4,108.27

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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.