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Finding the Fourth Proportional to 4,856.76, 6,702 and 2,868

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Solution

The fourth proportional to 4,856.76, 6,702 and 2,868 is: 3,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.76 : 6,702 = 2,868 : x
  2. Step 2: Convert to fraction form
    4,856.76/6,702 = 2,868/x
  3. Step 3: Cross multiply
    4,856.76x = 6,702 × 2,868
  4. Step 4: Simplify right side
    4,856.76x = 19,221,336
  5. Step 5: Solve for x
    x = 19,221,336/4,856.76
  6. Step 6: Final answer
    x = 3,957.65

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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.