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Finding the Fourth Proportional to 2,623.50, 3,935.68 and 867.98

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Solution

The fourth proportional to 2,623.50, 3,935.68 and 867.98 is: 1,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.50 : 3,935.68 = 867.98 : x
  2. Step 2: Convert to fraction form
    2,623.50/3,935.68 = 867.98/x
  3. Step 3: Cross multiply
    2,623.50x = 3,935.68 × 867.98
  4. Step 4: Simplify right side
    2,623.50x = 3,416,091.53
  5. Step 5: Solve for x
    x = 3,416,091.53/2,623.50
  6. Step 6: Final answer
    x = 1,302.11

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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.