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Finding the Fourth Proportional to 4,717, 6,511.08 and 2,854

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Solution

The fourth proportional to 4,717, 6,511.08 and 2,854 is: 3,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717 : 6,511.08 = 2,854 : x
  2. Step 2: Convert to fraction form
    4,717/6,511.08 = 2,854/x
  3. Step 3: Cross multiply
    4,717x = 6,511.08 × 2,854
  4. Step 4: Simplify right side
    4,717x = 18,582,622.32
  5. Step 5: Solve for x
    x = 18,582,622.32/4,717
  6. Step 6: Final answer
    x = 3,939.50

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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.