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Finding the Fourth Proportional to 4,876.82, 7,315.21 and 1,957.17

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Solution

The fourth proportional to 4,876.82, 7,315.21 and 1,957.17 is: 2,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.82 : 7,315.21 = 1,957.17 : x
  2. Step 2: Convert to fraction form
    4,876.82/7,315.21 = 1,957.17/x
  3. Step 3: Cross multiply
    4,876.82x = 7,315.21 × 1,957.17
  4. Step 4: Simplify right side
    4,876.82x = 14,317,109.56
  5. Step 5: Solve for x
    x = 14,317,109.56/4,876.82
  6. Step 6: Final answer
    x = 2,935.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.