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Finding the Fourth Proportional to 4,863, 6,710.94 and 2,655

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Solution

The fourth proportional to 4,863, 6,710.94 and 2,655 is: 3,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863 : 6,710.94 = 2,655 : x
  2. Step 2: Convert to fraction form
    4,863/6,710.94 = 2,655/x
  3. Step 3: Cross multiply
    4,863x = 6,710.94 × 2,655
  4. Step 4: Simplify right side
    4,863x = 17,817,545.70
  5. Step 5: Solve for x
    x = 17,817,545.70/4,863
  6. Step 6: Final answer
    x = 3,663.90

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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.