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Finding the Fourth Proportional to 5,249, 7,873.50 and 1,601

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Solution

The fourth proportional to 5,249, 7,873.50 and 1,601 is: 2,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249 : 7,873.50 = 1,601 : x
  2. Step 2: Convert to fraction form
    5,249/7,873.50 = 1,601/x
  3. Step 3: Cross multiply
    5,249x = 7,873.50 × 1,601
  4. Step 4: Simplify right side
    5,249x = 12,605,473.50
  5. Step 5: Solve for x
    x = 12,605,473.50/5,249
  6. Step 6: Final answer
    x = 2,401.50

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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.