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Finding the Fourth Proportional to 4,857, 6,702.61 and 2,761.12

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Solution

The fourth proportional to 4,857, 6,702.61 and 2,761.12 is: 3,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857 : 6,702.61 = 2,761.12 : x
  2. Step 2: Convert to fraction form
    4,857/6,702.61 = 2,761.12/x
  3. Step 3: Cross multiply
    4,857x = 6,702.61 × 2,761.12
  4. Step 4: Simplify right side
    4,857x = 18,506,710.52
  5. Step 5: Solve for x
    x = 18,506,710.52/4,857
  6. Step 6: Final answer
    x = 3,810.32

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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.