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Finding the Fourth Proportional to 4,878.91, 7,318.71 and 1,957.22

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Solution

The fourth proportional to 4,878.91, 7,318.71 and 1,957.22 is: 2,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.91 : 7,318.71 = 1,957.22 : x
  2. Step 2: Convert to fraction form
    4,878.91/7,318.71 = 1,957.22/x
  3. Step 3: Cross multiply
    4,878.91x = 7,318.71 × 1,957.22
  4. Step 4: Simplify right side
    4,878.91x = 14,324,288.99
  5. Step 5: Solve for x
    x = 14,324,288.99/4,878.91
  6. Step 6: Final answer
    x = 2,935.96

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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.